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Finding the Fourth Proportional to 5,684,678.28, 7,845,303.24 and 3,237,392.88

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Solution

The fourth proportional to 5,684,678.28, 7,845,303.24 and 3,237,392.88 is: 4,467,856.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684,678.28 : 7,845,303.24 = 3,237,392.88 : x
  2. Step 2: Convert to fraction form
    5,684,678.28/7,845,303.24 = 3,237,392.88/x
  3. Step 3: Cross multiply
    5,684,678.28x = 7,845,303.24 × 3,237,392.88
  4. Step 4: Simplify right side
    5,684,678.28x = 25,398,328,850,616.93
  5. Step 5: Solve for x
    x = 25,398,328,850,616.93/5,684,678.28
  6. Step 6: Final answer
    x = 4,467,856.86

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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.