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Finding the Fourth Proportional to 5,032.56, 7,549.92 and 1,522.84

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Solution

The fourth proportional to 5,032.56, 7,549.92 and 1,522.84 is: 2,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.56 : 7,549.92 = 1,522.84 : x
  2. Step 2: Convert to fraction form
    5,032.56/7,549.92 = 1,522.84/x
  3. Step 3: Cross multiply
    5,032.56x = 7,549.92 × 1,522.84
  4. Step 4: Simplify right side
    5,032.56x = 11,497,320.17
  5. Step 5: Solve for x
    x = 11,497,320.17/5,032.56
  6. Step 6: Final answer
    x = 2,284.59

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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.