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Finding the Fourth Proportional to 3,615.16, 5,422.92 and 1,018.30

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Solution

The fourth proportional to 3,615.16, 5,422.92 and 1,018.30 is: 1,527.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.16 : 5,422.92 = 1,018.30 : x
  2. Step 2: Convert to fraction form
    3,615.16/5,422.92 = 1,018.30/x
  3. Step 3: Cross multiply
    3,615.16x = 5,422.92 × 1,018.30
  4. Step 4: Simplify right side
    3,615.16x = 5,522,149.70
  5. Step 5: Solve for x
    x = 5,522,149.70/3,615.16
  6. Step 6: Final answer
    x = 1,527.50

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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.