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Finding the Fourth Proportional to 5,537.86, 8,306.82 and 1,642.30

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Solution

The fourth proportional to 5,537.86, 8,306.82 and 1,642.30 is: 2,463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.86 : 8,306.82 = 1,642.30 : x
  2. Step 2: Convert to fraction form
    5,537.86/8,306.82 = 1,642.30/x
  3. Step 3: Cross multiply
    5,537.86x = 8,306.82 × 1,642.30
  4. Step 4: Simplify right side
    5,537.86x = 13,642,290.49
  5. Step 5: Solve for x
    x = 13,642,290.49/5,537.86
  6. Step 6: Final answer
    x = 2,463.46

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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.