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Finding the Fourth Proportional to 5,835.07, 8,052.48 and 3,182.48

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Solution

The fourth proportional to 5,835.07, 8,052.48 and 3,182.48 is: 4,391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.07 : 8,052.48 = 3,182.48 : x
  2. Step 2: Convert to fraction form
    5,835.07/8,052.48 = 3,182.48/x
  3. Step 3: Cross multiply
    5,835.07x = 8,052.48 × 3,182.48
  4. Step 4: Simplify right side
    5,835.07x = 25,626,856.55
  5. Step 5: Solve for x
    x = 25,626,856.55/5,835.07
  6. Step 6: Final answer
    x = 4,391.87

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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.