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Finding the Fourth Proportional to 4,061.76, 6,093.48 and 1,429.68

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Solution

The fourth proportional to 4,061.76, 6,093.48 and 1,429.68 is: 2,144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.76 : 6,093.48 = 1,429.68 : x
  2. Step 2: Convert to fraction form
    4,061.76/6,093.48 = 1,429.68/x
  3. Step 3: Cross multiply
    4,061.76x = 6,093.48 × 1,429.68
  4. Step 4: Simplify right side
    4,061.76x = 8,711,726.49
  5. Step 5: Solve for x
    x = 8,711,726.49/4,061.76
  6. Step 6: Final answer
    x = 2,144.82

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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.