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Finding the Fourth Proportional to 5,654,818.09, 7,803,421.50 and 3,076,509.52

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Solution

The fourth proportional to 5,654,818.09, 7,803,421.50 and 3,076,509.52 is: 4,245,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654,818.09 : 7,803,421.50 = 3,076,509.52 : x
  2. Step 2: Convert to fraction form
    5,654,818.09/7,803,421.50 = 3,076,509.52/x
  3. Step 3: Cross multiply
    5,654,818.09x = 7,803,421.50 × 3,076,509.52
  4. Step 4: Simplify right side
    5,654,818.09x = 24,007,300,533,322.68
  5. Step 5: Solve for x
    x = 24,007,300,533,322.68/5,654,818.09
  6. Step 6: Final answer
    x = 4,245,459.39

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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.