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Finding the Fourth Proportional to 4,327.88, 5,972.47 and 2,465.24

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Solution

The fourth proportional to 4,327.88, 5,972.47 and 2,465.24 is: 3,402.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.88 : 5,972.47 = 2,465.24 : x
  2. Step 2: Convert to fraction form
    4,327.88/5,972.47 = 2,465.24/x
  3. Step 3: Cross multiply
    4,327.88x = 5,972.47 × 2,465.24
  4. Step 4: Simplify right side
    4,327.88x = 14,723,535.92
  5. Step 5: Solve for x
    x = 14,723,535.92/4,327.88
  6. Step 6: Final answer
    x = 3,402.02

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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.