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Finding the Fourth Proportional to 5,976.79, 8,962.22 and 3,478.84

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Solution

The fourth proportional to 5,976.79, 8,962.22 and 3,478.84 is: 5,216.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.79 : 8,962.22 = 3,478.84 : x
  2. Step 2: Convert to fraction form
    5,976.79/8,962.22 = 3,478.84/x
  3. Step 3: Cross multiply
    5,976.79x = 8,962.22 × 3,478.84
  4. Step 4: Simplify right side
    5,976.79x = 31,178,115.72
  5. Step 5: Solve for x
    x = 31,178,115.72/5,976.79
  6. Step 6: Final answer
    x = 5,216.53

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1.5x scale

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.