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Finding the Fourth Proportional to 5,746,978.30, 8,614,646.31 and 3,726,503.74

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Solution

The fourth proportional to 5,746,978.30, 8,614,646.31 and 3,726,503.74 is: 5,585,981.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746,978.30 : 8,614,646.31 = 3,726,503.74 : x
  2. Step 2: Convert to fraction form
    5,746,978.30/8,614,646.31 = 3,726,503.74/x
  3. Step 3: Cross multiply
    5,746,978.30x = 8,614,646.31 × 3,726,503.74
  4. Step 4: Simplify right side
    5,746,978.30x = 32,102,511,692,992.20
  5. Step 5: Solve for x
    x = 32,102,511,692,992.20/5,746,978.30
  6. Step 6: Final answer
    x = 5,585,981.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.