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Finding the Fourth Proportional to 5,702.49, 8,531.82 and 3,238.47

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Solution

The fourth proportional to 5,702.49, 8,531.82 and 3,238.47 is: 4,845.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.49 : 8,531.82 = 3,238.47 : x
  2. Step 2: Convert to fraction form
    5,702.49/8,531.82 = 3,238.47/x
  3. Step 3: Cross multiply
    5,702.49x = 8,531.82 × 3,238.47
  4. Step 4: Simplify right side
    5,702.49x = 27,630,043.12
  5. Step 5: Solve for x
    x = 27,630,043.12/5,702.49
  6. Step 6: Final answer
    x = 4,845.26

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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.