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Finding the Fourth Proportional to 5,882.16, 8,823.20 and 1,986

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Solution

The fourth proportional to 5,882.16, 8,823.20 and 1,986 is: 2,978.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.16 : 8,823.20 = 1,986 : x
  2. Step 2: Convert to fraction form
    5,882.16/8,823.20 = 1,986/x
  3. Step 3: Cross multiply
    5,882.16x = 8,823.20 × 1,986
  4. Step 4: Simplify right side
    5,882.16x = 17,522,875.20
  5. Step 5: Solve for x
    x = 17,522,875.20/5,882.16
  6. Step 6: Final answer
    x = 2,978.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.