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Finding the Fourth Proportional to 5,943.29, 8,915.34 and 1,560.74

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Solution

The fourth proportional to 5,943.29, 8,915.34 and 1,560.74 is: 2,341.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.29 : 8,915.34 = 1,560.74 : x
  2. Step 2: Convert to fraction form
    5,943.29/8,915.34 = 1,560.74/x
  3. Step 3: Cross multiply
    5,943.29x = 8,915.34 × 1,560.74
  4. Step 4: Simplify right side
    5,943.29x = 13,914,527.75
  5. Step 5: Solve for x
    x = 13,914,527.75/5,943.29
  6. Step 6: Final answer
    x = 2,341.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.