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Finding the Fourth Proportional to 5,871.76, 8,103.20 and 3,354.24

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Solution

The fourth proportional to 5,871.76, 8,103.20 and 3,354.24 is: 4,628.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.76 : 8,103.20 = 3,354.24 : x
  2. Step 2: Convert to fraction form
    5,871.76/8,103.20 = 3,354.24/x
  3. Step 3: Cross multiply
    5,871.76x = 8,103.20 × 3,354.24
  4. Step 4: Simplify right side
    5,871.76x = 27,180,077.57
  5. Step 5: Solve for x
    x = 27,180,077.57/5,871.76
  6. Step 6: Final answer
    x = 4,628.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.