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Finding the Fourth Proportional to 5,986.24, 8,978.01 and 2,287.15

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Solution

The fourth proportional to 5,986.24, 8,978.01 and 2,287.15 is: 3,430.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.24 : 8,978.01 = 2,287.15 : x
  2. Step 2: Convert to fraction form
    5,986.24/8,978.01 = 2,287.15/x
  3. Step 3: Cross multiply
    5,986.24x = 8,978.01 × 2,287.15
  4. Step 4: Simplify right side
    5,986.24x = 20,534,055.57
  5. Step 5: Solve for x
    x = 20,534,055.57/5,986.24
  6. Step 6: Final answer
    x = 3,430.21

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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.