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Finding the Fourth Proportional to 3,746.34, 5,618.31 and 1,553.90

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Solution

The fourth proportional to 3,746.34, 5,618.31 and 1,553.90 is: 2,330.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.34 : 5,618.31 = 1,553.90 : x
  2. Step 2: Convert to fraction form
    3,746.34/5,618.31 = 1,553.90/x
  3. Step 3: Cross multiply
    3,746.34x = 5,618.31 × 1,553.90
  4. Step 4: Simplify right side
    3,746.34x = 8,730,291.91
  5. Step 5: Solve for x
    x = 8,730,291.91/3,746.34
  6. Step 6: Final answer
    x = 2,330.35

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