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Finding the Fourth Proportional to 3,737.34, 5,605.71 and 964.11

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Solution

The fourth proportional to 3,737.34, 5,605.71 and 964.11 is: 1,446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.34 : 5,605.71 = 964.11 : x
  2. Step 2: Convert to fraction form
    3,737.34/5,605.71 = 964.11/x
  3. Step 3: Cross multiply
    3,737.34x = 5,605.71 × 964.11
  4. Step 4: Simplify right side
    3,737.34x = 5,404,521.07
  5. Step 5: Solve for x
    x = 5,404,521.07/3,737.34
  6. Step 6: Final answer
    x = 1,446.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.