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Finding the Fourth Proportional to 5,302.80, 7,952.64 and 2,527.92

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Solution

The fourth proportional to 5,302.80, 7,952.64 and 2,527.92 is: 3,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.80 : 7,952.64 = 2,527.92 : x
  2. Step 2: Convert to fraction form
    5,302.80/7,952.64 = 2,527.92/x
  3. Step 3: Cross multiply
    5,302.80x = 7,952.64 × 2,527.92
  4. Step 4: Simplify right side
    5,302.80x = 20,103,637.71
  5. Step 5: Solve for x
    x = 20,103,637.71/5,302.80
  6. Step 6: Final answer
    x = 3,791.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.