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Finding the Fourth Proportional to 5,654,976.96, 7,803,782.40 and 3,076,598.88

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Solution

The fourth proportional to 5,654,976.96, 7,803,782.40 and 3,076,598.88 is: 4,245,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654,976.96 : 7,803,782.40 = 3,076,598.88 : x
  2. Step 2: Convert to fraction form
    5,654,976.96/7,803,782.40 = 3,076,598.88/x
  3. Step 3: Cross multiply
    5,654,976.96x = 7,803,782.40 × 3,076,598.88
  4. Step 4: Simplify right side
    5,654,976.96x = 24,009,108,191,603.71
  5. Step 5: Solve for x
    x = 24,009,108,191,603.71/5,654,976.96
  6. Step 6: Final answer
    x = 4,245,659.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.