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Finding the Fourth Proportional to 5,883.66, 8,117.90 and 3,493

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Solution

The fourth proportional to 5,883.66, 8,117.90 and 3,493 is: 4,819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.66 : 8,117.90 = 3,493 : x
  2. Step 2: Convert to fraction form
    5,883.66/8,117.90 = 3,493/x
  3. Step 3: Cross multiply
    5,883.66x = 8,117.90 × 3,493
  4. Step 4: Simplify right side
    5,883.66x = 28,355,824.70
  5. Step 5: Solve for x
    x = 28,355,824.70/5,883.66
  6. Step 6: Final answer
    x = 4,819.42

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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.