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Finding the Fourth Proportional to 5,633.25, 8,437.17 and 2,713.74

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Solution

The fourth proportional to 5,633.25, 8,437.17 and 2,713.74 is: 4,064.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.25 : 8,437.17 = 2,713.74 : x
  2. Step 2: Convert to fraction form
    5,633.25/8,437.17 = 2,713.74/x
  3. Step 3: Cross multiply
    5,633.25x = 8,437.17 × 2,713.74
  4. Step 4: Simplify right side
    5,633.25x = 22,896,285.72
  5. Step 5: Solve for x
    x = 22,896,285.72/5,633.25
  6. Step 6: Final answer
    x = 4,064.49

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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.