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Finding the Fourth Proportional to 5,842.24, 8,758.63 and 3,988.69

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Solution

The fourth proportional to 5,842.24, 8,758.63 and 3,988.69 is: 5,979.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.24 : 8,758.63 = 3,988.69 : x
  2. Step 2: Convert to fraction form
    5,842.24/8,758.63 = 3,988.69/x
  3. Step 3: Cross multiply
    5,842.24x = 8,758.63 × 3,988.69
  4. Step 4: Simplify right side
    5,842.24x = 34,935,459.89
  5. Step 5: Solve for x
    x = 34,935,459.89/5,842.24
  6. Step 6: Final answer
    x = 5,979.81

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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.