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Finding the Fourth Proportional to 5,221.16, 7,834.86 and 4,892.84

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Solution

The fourth proportional to 5,221.16, 7,834.86 and 4,892.84 is: 7,342.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.16 : 7,834.86 = 4,892.84 : x
  2. Step 2: Convert to fraction form
    5,221.16/7,834.86 = 4,892.84/x
  3. Step 3: Cross multiply
    5,221.16x = 7,834.86 × 4,892.84
  4. Step 4: Simplify right side
    5,221.16x = 38,334,716.40
  5. Step 5: Solve for x
    x = 38,334,716.40/5,221.16
  6. Step 6: Final answer
    x = 7,342.18

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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.