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Finding the Fourth Proportional to 4,737.61, 6,538.08 and 2,642.14

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Solution

The fourth proportional to 4,737.61, 6,538.08 and 2,642.14 is: 3,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.61 : 6,538.08 = 2,642.14 : x
  2. Step 2: Convert to fraction form
    4,737.61/6,538.08 = 2,642.14/x
  3. Step 3: Cross multiply
    4,737.61x = 6,538.08 × 2,642.14
  4. Step 4: Simplify right side
    4,737.61x = 17,274,522.69
  5. Step 5: Solve for x
    x = 17,274,522.69/4,737.61
  6. Step 6: Final answer
    x = 3,646.25

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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.