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Finding the Fourth Proportional to 5,882.86, 8,825.15 and 1,988.38

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Solution

The fourth proportional to 5,882.86, 8,825.15 and 1,988.38 is: 2,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.86 : 8,825.15 = 1,988.38 : x
  2. Step 2: Convert to fraction form
    5,882.86/8,825.15 = 1,988.38/x
  3. Step 3: Cross multiply
    5,882.86x = 8,825.15 × 1,988.38
  4. Step 4: Simplify right side
    5,882.86x = 17,547,751.76
  5. Step 5: Solve for x
    x = 17,547,751.76/5,882.86
  6. Step 6: Final answer
    x = 2,982.86

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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.