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Finding the Fourth Proportional to 5,829.76, 8,048.96 and 4,439.68

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Solution

The fourth proportional to 5,829.76, 8,048.96 and 4,439.68 is: 6,129.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.76 : 8,048.96 = 4,439.68 : x
  2. Step 2: Convert to fraction form
    5,829.76/8,048.96 = 4,439.68/x
  3. Step 3: Cross multiply
    5,829.76x = 8,048.96 × 4,439.68
  4. Step 4: Simplify right side
    5,829.76x = 35,734,806.73
  5. Step 5: Solve for x
    x = 35,734,806.73/5,829.76
  6. Step 6: Final answer
    x = 6,129.72

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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.