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Finding the Fourth Proportional to 5,764.26, 7,951.98 and 3,374.30

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Solution

The fourth proportional to 5,764.26, 7,951.98 and 3,374.30 is: 4,654.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.26 : 7,951.98 = 3,374.30 : x
  2. Step 2: Convert to fraction form
    5,764.26/7,951.98 = 3,374.30/x
  3. Step 3: Cross multiply
    5,764.26x = 7,951.98 × 3,374.30
  4. Step 4: Simplify right side
    5,764.26x = 26,832,366.11
  5. Step 5: Solve for x
    x = 26,832,366.11/5,764.26
  6. Step 6: Final answer
    x = 4,654.95

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1.5x scale

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.