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Finding the Fourth Proportional to 4,568.67, 6,853.01 and 1,105.92

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Solution

The fourth proportional to 4,568.67, 6,853.01 and 1,105.92 is: 1,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.67 : 6,853.01 = 1,105.92 : x
  2. Step 2: Convert to fraction form
    4,568.67/6,853.01 = 1,105.92/x
  3. Step 3: Cross multiply
    4,568.67x = 6,853.01 × 1,105.92
  4. Step 4: Simplify right side
    4,568.67x = 7,578,875.29
  5. Step 5: Solve for x
    x = 7,578,875.29/4,568.67
  6. Step 6: Final answer
    x = 1,658.88

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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.