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Finding the Fourth Proportional to 5,973.24, 8,959.86 and 3,254.52

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Solution

The fourth proportional to 5,973.24, 8,959.86 and 3,254.52 is: 4,881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.24 : 8,959.86 = 3,254.52 : x
  2. Step 2: Convert to fraction form
    5,973.24/8,959.86 = 3,254.52/x
  3. Step 3: Cross multiply
    5,973.24x = 8,959.86 × 3,254.52
  4. Step 4: Simplify right side
    5,973.24x = 29,160,043.57
  5. Step 5: Solve for x
    x = 29,160,043.57/5,973.24
  6. Step 6: Final answer
    x = 4,881.78

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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.