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Finding the Fourth Proportional to 5,642.65, 8,462.97 and 2,132.98

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Solution

The fourth proportional to 5,642.65, 8,462.97 and 2,132.98 is: 3,199.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.65 : 8,462.97 = 2,132.98 : x
  2. Step 2: Convert to fraction form
    5,642.65/8,462.97 = 2,132.98/x
  3. Step 3: Cross multiply
    5,642.65x = 8,462.97 × 2,132.98
  4. Step 4: Simplify right side
    5,642.65x = 18,051,345.75
  5. Step 5: Solve for x
    x = 18,051,345.75/5,642.65
  6. Step 6: Final answer
    x = 3,199.09

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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.