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Finding the Fourth Proportional to 3,742.59, 5,609.33 and 2,647.27

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Solution

The fourth proportional to 3,742.59, 5,609.33 and 2,647.27 is: 3,967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.59 : 5,609.33 = 2,647.27 : x
  2. Step 2: Convert to fraction form
    3,742.59/5,609.33 = 2,647.27/x
  3. Step 3: Cross multiply
    3,742.59x = 5,609.33 × 2,647.27
  4. Step 4: Simplify right side
    3,742.59x = 14,849,411.03
  5. Step 5: Solve for x
    x = 14,849,411.03/3,742.59
  6. Step 6: Final answer
    x = 3,967.68

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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.