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Finding the Fourth Proportional to 5,882.42, 8,117.94 and 3,493.64

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Solution

The fourth proportional to 5,882.42, 8,117.94 and 3,493.64 is: 4,821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.42 : 8,117.94 = 3,493.64 : x
  2. Step 2: Convert to fraction form
    5,882.42/8,117.94 = 3,493.64/x
  3. Step 3: Cross multiply
    5,882.42x = 8,117.94 × 3,493.64
  4. Step 4: Simplify right side
    5,882.42x = 28,361,159.90
  5. Step 5: Solve for x
    x = 28,361,159.90/5,882.42
  6. Step 6: Final answer
    x = 4,821.34

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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.