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Finding the Fourth Proportional to 5,659.20, 8,530.80 and 5,275.20

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Solution

The fourth proportional to 5,659.20, 8,530.80 and 5,275.20 is: 7,951.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.20 : 8,530.80 = 5,275.20 : x
  2. Step 2: Convert to fraction form
    5,659.20/8,530.80 = 5,275.20/x
  3. Step 3: Cross multiply
    5,659.20x = 8,530.80 × 5,275.20
  4. Step 4: Simplify right side
    5,659.20x = 45,001,676.16
  5. Step 5: Solve for x
    x = 45,001,676.16/5,659.20
  6. Step 6: Final answer
    x = 7,951.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.