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Finding the Fourth Proportional to 3,715.60, 5,573.38 and 1,522.76

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Solution

The fourth proportional to 3,715.60, 5,573.38 and 1,522.76 is: 2,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.60 : 5,573.38 = 1,522.76 : x
  2. Step 2: Convert to fraction form
    3,715.60/5,573.38 = 1,522.76/x
  3. Step 3: Cross multiply
    3,715.60x = 5,573.38 × 1,522.76
  4. Step 4: Simplify right side
    3,715.60x = 8,486,920.13
  5. Step 5: Solve for x
    x = 8,486,920.13/3,715.60
  6. Step 6: Final answer
    x = 2,284.13

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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.