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Finding the Fourth Proportional to 4,468.71, 6,703.14 and 3,081.68

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Solution

The fourth proportional to 4,468.71, 6,703.14 and 3,081.68 is: 4,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.71 : 6,703.14 = 3,081.68 : x
  2. Step 2: Convert to fraction form
    4,468.71/6,703.14 = 3,081.68/x
  3. Step 3: Cross multiply
    4,468.71x = 6,703.14 × 3,081.68
  4. Step 4: Simplify right side
    4,468.71x = 20,656,932.48
  5. Step 5: Solve for x
    x = 20,656,932.48/4,468.71
  6. Step 6: Final answer
    x = 4,622.57

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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.