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Finding the Fourth Proportional to 5,980.53, 8,253.14 and 3,462.78

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Solution

The fourth proportional to 5,980.53, 8,253.14 and 3,462.78 is: 4,778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.53 : 8,253.14 = 3,462.78 : x
  2. Step 2: Convert to fraction form
    5,980.53/8,253.14 = 3,462.78/x
  3. Step 3: Cross multiply
    5,980.53x = 8,253.14 × 3,462.78
  4. Step 4: Simplify right side
    5,980.53x = 28,578,772.85
  5. Step 5: Solve for x
    x = 28,578,772.85/5,980.53
  6. Step 6: Final answer
    x = 4,778.63

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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.