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Finding the Fourth Proportional to 3,967.61, 5,472.77 and 3,128.04

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Solution

The fourth proportional to 3,967.61, 5,472.77 and 3,128.04 is: 4,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.61 : 5,472.77 = 3,128.04 : x
  2. Step 2: Convert to fraction form
    3,967.61/5,472.77 = 3,128.04/x
  3. Step 3: Cross multiply
    3,967.61x = 5,472.77 × 3,128.04
  4. Step 4: Simplify right side
    3,967.61x = 17,119,027.83
  5. Step 5: Solve for x
    x = 17,119,027.83/3,967.61
  6. Step 6: Final answer
    x = 4,314.70

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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.