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Finding the Fourth Proportional to 5,537.79, 8,308.29 and 1,642.29

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Solution

The fourth proportional to 5,537.79, 8,308.29 and 1,642.29 is: 2,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.79 : 8,308.29 = 1,642.29 : x
  2. Step 2: Convert to fraction form
    5,537.79/8,308.29 = 1,642.29/x
  3. Step 3: Cross multiply
    5,537.79x = 8,308.29 × 1,642.29
  4. Step 4: Simplify right side
    5,537.79x = 13,644,621.58
  5. Step 5: Solve for x
    x = 13,644,621.58/5,537.79
  6. Step 6: Final answer
    x = 2,463.91

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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.