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Finding the Fourth Proportional to 5,763.68, 8,645.66 and 2,066.16

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Solution

The fourth proportional to 5,763.68, 8,645.66 and 2,066.16 is: 3,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.68 : 8,645.66 = 2,066.16 : x
  2. Step 2: Convert to fraction form
    5,763.68/8,645.66 = 2,066.16/x
  3. Step 3: Cross multiply
    5,763.68x = 8,645.66 × 2,066.16
  4. Step 4: Simplify right side
    5,763.68x = 17,863,306.53
  5. Step 5: Solve for x
    x = 17,863,306.53/5,763.68
  6. Step 6: Final answer
    x = 3,099.29

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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.