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Finding the Fourth Proportional to 3,445.56, 5,165.76 and 1,715.40

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Solution

The fourth proportional to 3,445.56, 5,165.76 and 1,715.40 is: 2,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.56 : 5,165.76 = 1,715.40 : x
  2. Step 2: Convert to fraction form
    3,445.56/5,165.76 = 1,715.40/x
  3. Step 3: Cross multiply
    3,445.56x = 5,165.76 × 1,715.40
  4. Step 4: Simplify right side
    3,445.56x = 8,861,344.70
  5. Step 5: Solve for x
    x = 8,861,344.70/3,445.56
  6. Step 6: Final answer
    x = 2,571.82

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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.