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Finding the Fourth Proportional to 3,702.28, 5,104.50 and 2,373.64

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Solution

The fourth proportional to 3,702.28, 5,104.50 and 2,373.64 is: 3,272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.28 : 5,104.50 = 2,373.64 : x
  2. Step 2: Convert to fraction form
    3,702.28/5,104.50 = 2,373.64/x
  3. Step 3: Cross multiply
    3,702.28x = 5,104.50 × 2,373.64
  4. Step 4: Simplify right side
    3,702.28x = 12,116,245.38
  5. Step 5: Solve for x
    x = 12,116,245.38/3,702.28
  6. Step 6: Final answer
    x = 3,272.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.