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Finding the Fourth Proportional to 3,564.48, 5,318.64 and 3,174.72

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Solution

The fourth proportional to 3,564.48, 5,318.64 and 3,174.72 is: 4,737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.48 : 5,318.64 = 3,174.72 : x
  2. Step 2: Convert to fraction form
    3,564.48/5,318.64 = 3,174.72/x
  3. Step 3: Cross multiply
    3,564.48x = 5,318.64 × 3,174.72
  4. Step 4: Simplify right side
    3,564.48x = 16,885,192.78
  5. Step 5: Solve for x
    x = 16,885,192.78/3,564.48
  6. Step 6: Final answer
    x = 4,737.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.