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Finding the Fourth Proportional to 5,671.13, 8,508.03 and 5,577

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Solution

The fourth proportional to 5,671.13, 8,508.03 and 5,577 is: 8,366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.13 : 8,508.03 = 5,577 : x
  2. Step 2: Convert to fraction form
    5,671.13/8,508.03 = 5,577/x
  3. Step 3: Cross multiply
    5,671.13x = 8,508.03 × 5,577
  4. Step 4: Simplify right side
    5,671.13x = 47,449,283.31
  5. Step 5: Solve for x
    x = 47,449,283.31/5,671.13
  6. Step 6: Final answer
    x = 8,366.82

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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.