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Finding the Fourth Proportional to 5,462.65, 8,195.19 and 1,566.75

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Solution

The fourth proportional to 5,462.65, 8,195.19 and 1,566.75 is: 2,350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.65 : 8,195.19 = 1,566.75 : x
  2. Step 2: Convert to fraction form
    5,462.65/8,195.19 = 1,566.75/x
  3. Step 3: Cross multiply
    5,462.65x = 8,195.19 × 1,566.75
  4. Step 4: Simplify right side
    5,462.65x = 12,839,810.02
  5. Step 5: Solve for x
    x = 12,839,810.02/5,462.65
  6. Step 6: Final answer
    x = 2,350.47

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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.