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Finding the Fourth Proportional to 5,302.26, 7,947.72 and 2,527.20

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Solution

The fourth proportional to 5,302.26, 7,947.72 and 2,527.20 is: 3,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.26 : 7,947.72 = 2,527.20 : x
  2. Step 2: Convert to fraction form
    5,302.26/7,947.72 = 2,527.20/x
  3. Step 3: Cross multiply
    5,302.26x = 7,947.72 × 2,527.20
  4. Step 4: Simplify right side
    5,302.26x = 20,085,477.98
  5. Step 5: Solve for x
    x = 20,085,477.98/5,302.26
  6. Step 6: Final answer
    x = 3,788.10

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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.