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Finding the Fourth Proportional to 5,220.60, 7,832.10 and 1,522.74

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Solution

The fourth proportional to 5,220.60, 7,832.10 and 1,522.74 is: 2,284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.60 : 7,832.10 = 1,522.74 : x
  2. Step 2: Convert to fraction form
    5,220.60/7,832.10 = 1,522.74/x
  3. Step 3: Cross multiply
    5,220.60x = 7,832.10 × 1,522.74
  4. Step 4: Simplify right side
    5,220.60x = 11,926,251.95
  5. Step 5: Solve for x
    x = 11,926,251.95/5,220.60
  6. Step 6: Final answer
    x = 2,284.46

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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.