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Finding the Fourth Proportional to 3,742.76, 5,170.26 and 3,545.96

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Solution

The fourth proportional to 3,742.76, 5,170.26 and 3,545.96 is: 4,898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.76 : 5,170.26 = 3,545.96 : x
  2. Step 2: Convert to fraction form
    3,742.76/5,170.26 = 3,545.96/x
  3. Step 3: Cross multiply
    3,742.76x = 5,170.26 × 3,545.96
  4. Step 4: Simplify right side
    3,742.76x = 18,333,535.15
  5. Step 5: Solve for x
    x = 18,333,535.15/3,742.76
  6. Step 6: Final answer
    x = 4,898.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.