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Finding the Fourth Proportional to 3,686.88, 5,084.28 and 2,428.68

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Solution

The fourth proportional to 3,686.88, 5,084.28 and 2,428.68 is: 3,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.88 : 5,084.28 = 2,428.68 : x
  2. Step 2: Convert to fraction form
    3,686.88/5,084.28 = 2,428.68/x
  3. Step 3: Cross multiply
    3,686.88x = 5,084.28 × 2,428.68
  4. Step 4: Simplify right side
    3,686.88x = 12,348,089.15
  5. Step 5: Solve for x
    x = 12,348,089.15/3,686.88
  6. Step 6: Final answer
    x = 3,349.20

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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.