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Finding the Fourth Proportional to 5,319.66, 7,960.05 and 3,129.42

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Solution

The fourth proportional to 5,319.66, 7,960.05 and 3,129.42 is: 4,682.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.66 : 7,960.05 = 3,129.42 : x
  2. Step 2: Convert to fraction form
    5,319.66/7,960.05 = 3,129.42/x
  3. Step 3: Cross multiply
    5,319.66x = 7,960.05 × 3,129.42
  4. Step 4: Simplify right side
    5,319.66x = 24,910,339.67
  5. Step 5: Solve for x
    x = 24,910,339.67/5,319.66
  6. Step 6: Final answer
    x = 4,682.69

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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.