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Finding the Fourth Proportional to 4,881.84, 6,737.68 and 3,700.96

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Solution

The fourth proportional to 4,881.84, 6,737.68 and 3,700.96 is: 5,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881.84 : 6,737.68 = 3,700.96 : x
  2. Step 2: Convert to fraction form
    4,881.84/6,737.68 = 3,700.96/x
  3. Step 3: Cross multiply
    4,881.84x = 6,737.68 × 3,700.96
  4. Step 4: Simplify right side
    4,881.84x = 24,935,884.17
  5. Step 5: Solve for x
    x = 24,935,884.17/4,881.84
  6. Step 6: Final answer
    x = 5,107.89

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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.