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Finding the Fourth Proportional to 6,484.88, 9,726.41 and 3,702.53

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Solution

The fourth proportional to 6,484.88, 9,726.41 and 3,702.53 is: 5,553.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.88 : 9,726.41 = 3,702.53 : x
  2. Step 2: Convert to fraction form
    6,484.88/9,726.41 = 3,702.53/x
  3. Step 3: Cross multiply
    6,484.88x = 9,726.41 × 3,702.53
  4. Step 4: Simplify right side
    6,484.88x = 36,012,358.39
  5. Step 5: Solve for x
    x = 36,012,358.39/6,484.88
  6. Step 6: Final answer
    x = 5,553.28

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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.