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Finding the Fourth Proportional to 3,545.74, 5,314.52 and 3,135.68

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Solution

The fourth proportional to 3,545.74, 5,314.52 and 3,135.68 is: 4,699.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.74 : 5,314.52 = 3,135.68 : x
  2. Step 2: Convert to fraction form
    3,545.74/5,314.52 = 3,135.68/x
  3. Step 3: Cross multiply
    3,545.74x = 5,314.52 × 3,135.68
  4. Step 4: Simplify right side
    3,545.74x = 16,664,634.07
  5. Step 5: Solve for x
    x = 16,664,634.07/3,545.74
  6. Step 6: Final answer
    x = 4,699.90

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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.