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Finding the Fourth Proportional to 4,771.80, 7,157.70 and 3,129.30

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Solution

The fourth proportional to 4,771.80, 7,157.70 and 3,129.30 is: 4,693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.80 : 7,157.70 = 3,129.30 : x
  2. Step 2: Convert to fraction form
    4,771.80/7,157.70 = 3,129.30/x
  3. Step 3: Cross multiply
    4,771.80x = 7,157.70 × 3,129.30
  4. Step 4: Simplify right side
    4,771.80x = 22,398,590.61
  5. Step 5: Solve for x
    x = 22,398,590.61/4,771.80
  6. Step 6: Final answer
    x = 4,693.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.