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Finding the Fourth Proportional to 5,815.40, 8,722.14 and 2,695.28

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Solution

The fourth proportional to 5,815.40, 8,722.14 and 2,695.28 is: 4,042.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.40 : 8,722.14 = 2,695.28 : x
  2. Step 2: Convert to fraction form
    5,815.40/8,722.14 = 2,695.28/x
  3. Step 3: Cross multiply
    5,815.40x = 8,722.14 × 2,695.28
  4. Step 4: Simplify right side
    5,815.40x = 23,508,609.50
  5. Step 5: Solve for x
    x = 23,508,609.50/5,815.40
  6. Step 6: Final answer
    x = 4,042.48

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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.