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Finding the Fourth Proportional to 3,737.64, 5,606.79 and 964.29

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Solution

The fourth proportional to 3,737.64, 5,606.79 and 964.29 is: 1,446.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.64 : 5,606.79 = 964.29 : x
  2. Step 2: Convert to fraction form
    3,737.64/5,606.79 = 964.29/x
  3. Step 3: Cross multiply
    3,737.64x = 5,606.79 × 964.29
  4. Step 4: Simplify right side
    3,737.64x = 5,406,571.53
  5. Step 5: Solve for x
    x = 5,406,571.53/3,737.64
  6. Step 6: Final answer
    x = 1,446.52

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Why These Related Problems?

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