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Finding the Fourth Proportional to 5,029, 7,529.44 and 3,792.54

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Solution

The fourth proportional to 5,029, 7,529.44 and 3,792.54 is: 5,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,029 : 7,529.44 = 3,792.54 : x
  2. Step 2: Convert to fraction form
    5,029/7,529.44 = 3,792.54/x
  3. Step 3: Cross multiply
    5,029x = 7,529.44 × 3,792.54
  4. Step 4: Simplify right side
    5,029x = 28,555,702.38
  5. Step 5: Solve for x
    x = 28,555,702.38/5,029
  6. Step 6: Final answer
    x = 5,678.21

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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.