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Finding the Fourth Proportional to 5,156.52, 7,732.80 and 2,522.40

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Solution

The fourth proportional to 5,156.52, 7,732.80 and 2,522.40 is: 3,782.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.52 : 7,732.80 = 2,522.40 : x
  2. Step 2: Convert to fraction form
    5,156.52/7,732.80 = 2,522.40/x
  3. Step 3: Cross multiply
    5,156.52x = 7,732.80 × 2,522.40
  4. Step 4: Simplify right side
    5,156.52x = 19,505,214.72
  5. Step 5: Solve for x
    x = 19,505,214.72/5,156.52
  6. Step 6: Final answer
    x = 3,782.63

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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.