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Finding the Fourth Proportional to 3,712.47, 5,535.93 and 3,679.14

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Solution

The fourth proportional to 3,712.47, 5,535.93 and 3,679.14 is: 5,486.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.47 : 5,535.93 = 3,679.14 : x
  2. Step 2: Convert to fraction form
    3,712.47/5,535.93 = 3,679.14/x
  3. Step 3: Cross multiply
    3,712.47x = 5,535.93 × 3,679.14
  4. Step 4: Simplify right side
    3,712.47x = 20,367,461.50
  5. Step 5: Solve for x
    x = 20,367,461.50/3,712.47
  6. Step 6: Final answer
    x = 5,486.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.