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Finding the Fourth Proportional to 5,742.84, 8,617.62 and 3,281.16

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Solution

The fourth proportional to 5,742.84, 8,617.62 and 3,281.16 is: 4,923.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.84 : 8,617.62 = 3,281.16 : x
  2. Step 2: Convert to fraction form
    5,742.84/8,617.62 = 3,281.16/x
  3. Step 3: Cross multiply
    5,742.84x = 8,617.62 × 3,281.16
  4. Step 4: Simplify right side
    5,742.84x = 28,275,790.04
  5. Step 5: Solve for x
    x = 28,275,790.04/5,742.84
  6. Step 6: Final answer
    x = 4,923.66

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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.