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Finding the Fourth Proportional to 3,752.64, 5,177.66 and 2,424.24

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Solution

The fourth proportional to 3,752.64, 5,177.66 and 2,424.24 is: 3,344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.64 : 5,177.66 = 2,424.24 : x
  2. Step 2: Convert to fraction form
    3,752.64/5,177.66 = 2,424.24/x
  3. Step 3: Cross multiply
    3,752.64x = 5,177.66 × 2,424.24
  4. Step 4: Simplify right side
    3,752.64x = 12,551,878.36
  5. Step 5: Solve for x
    x = 12,551,878.36/3,752.64
  6. Step 6: Final answer
    x = 3,344.81

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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.