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Finding the Fourth Proportional to 5,882.86, 8,825.55 and 1,987.18

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Solution

The fourth proportional to 5,882.86, 8,825.55 and 1,987.18 is: 2,981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.86 : 8,825.55 = 1,987.18 : x
  2. Step 2: Convert to fraction form
    5,882.86/8,825.55 = 1,987.18/x
  3. Step 3: Cross multiply
    5,882.86x = 8,825.55 × 1,987.18
  4. Step 4: Simplify right side
    5,882.86x = 17,537,956.45
  5. Step 5: Solve for x
    x = 17,537,956.45/5,882.86
  6. Step 6: Final answer
    x = 2,981.20

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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.