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Finding the Fourth Proportional to 6,215.70, 8,582.85 and 4,129.14

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Solution

The fourth proportional to 6,215.70, 8,582.85 and 4,129.14 is: 5,701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.70 : 8,582.85 = 4,129.14 : x
  2. Step 2: Convert to fraction form
    6,215.70/8,582.85 = 4,129.14/x
  3. Step 3: Cross multiply
    6,215.70x = 8,582.85 × 4,129.14
  4. Step 4: Simplify right side
    6,215.70x = 35,439,789.25
  5. Step 5: Solve for x
    x = 35,439,789.25/6,215.70
  6. Step 6: Final answer
    x = 5,701.66

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