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Finding the Fourth Proportional to 5,176.40, 7,764.60 and 4,702.55

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Solution

The fourth proportional to 5,176.40, 7,764.60 and 4,702.55 is: 7,053.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.40 : 7,764.60 = 4,702.55 : x
  2. Step 2: Convert to fraction form
    5,176.40/7,764.60 = 4,702.55/x
  3. Step 3: Cross multiply
    5,176.40x = 7,764.60 × 4,702.55
  4. Step 4: Simplify right side
    5,176.40x = 36,513,419.73
  5. Step 5: Solve for x
    x = 36,513,419.73/5,176.40
  6. Step 6: Final answer
    x = 7,053.83

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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.