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Finding the Fourth Proportional to 6,265.18, 8,646.22 and 3,470.68

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Solution

The fourth proportional to 6,265.18, 8,646.22 and 3,470.68 is: 4,789.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.18 : 8,646.22 = 3,470.68 : x
  2. Step 2: Convert to fraction form
    6,265.18/8,646.22 = 3,470.68/x
  3. Step 3: Cross multiply
    6,265.18x = 8,646.22 × 3,470.68
  4. Step 4: Simplify right side
    6,265.18x = 30,008,262.83
  5. Step 5: Solve for x
    x = 30,008,262.83/6,265.18
  6. Step 6: Final answer
    x = 4,789.69

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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.