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Finding the Fourth Proportional to 4,792.48, 6,614.40 and 4,006.24

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Solution

The fourth proportional to 4,792.48, 6,614.40 and 4,006.24 is: 5,529.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.48 : 6,614.40 = 4,006.24 : x
  2. Step 2: Convert to fraction form
    4,792.48/6,614.40 = 4,006.24/x
  3. Step 3: Cross multiply
    4,792.48x = 6,614.40 × 4,006.24
  4. Step 4: Simplify right side
    4,792.48x = 26,498,873.86
  5. Step 5: Solve for x
    x = 26,498,873.86/4,792.48
  6. Step 6: Final answer
    x = 5,529.26

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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.