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Finding the Fourth Proportional to 3,898.53, 5,384.27 and 3,654.32

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Solution

The fourth proportional to 3,898.53, 5,384.27 and 3,654.32 is: 5,046.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.53 : 5,384.27 = 3,654.32 : x
  2. Step 2: Convert to fraction form
    3,898.53/5,384.27 = 3,654.32/x
  3. Step 3: Cross multiply
    3,898.53x = 5,384.27 × 3,654.32
  4. Step 4: Simplify right side
    3,898.53x = 19,675,827.76
  5. Step 5: Solve for x
    x = 19,675,827.76/3,898.53
  6. Step 6: Final answer
    x = 5,046.99

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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.