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Finding the Fourth Proportional to 3,765.91, 5,632.72 and 2,714.10

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Solution

The fourth proportional to 3,765.91, 5,632.72 and 2,714.10 is: 4,059.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.91 : 5,632.72 = 2,714.10 : x
  2. Step 2: Convert to fraction form
    3,765.91/5,632.72 = 2,714.10/x
  3. Step 3: Cross multiply
    3,765.91x = 5,632.72 × 2,714.10
  4. Step 4: Simplify right side
    3,765.91x = 15,287,774.71
  5. Step 5: Solve for x
    x = 15,287,774.71/3,765.91
  6. Step 6: Final answer
    x = 4,059.52

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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.