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Finding the Fourth Proportional to 5,715.72, 8,577 and 3,254.04

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Solution

The fourth proportional to 5,715.72, 8,577 and 3,254.04 is: 4,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.72 : 8,577 = 3,254.04 : x
  2. Step 2: Convert to fraction form
    5,715.72/8,577 = 3,254.04/x
  3. Step 3: Cross multiply
    5,715.72x = 8,577 × 3,254.04
  4. Step 4: Simplify right side
    5,715.72x = 27,909,901.08
  5. Step 5: Solve for x
    x = 27,909,901.08/5,715.72
  6. Step 6: Final answer
    x = 4,883.01

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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.