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Finding the Fourth Proportional to 5,711.84, 8,567.76 and 2,249

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Solution

The fourth proportional to 5,711.84, 8,567.76 and 2,249 is: 3,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.84 : 8,567.76 = 2,249 : x
  2. Step 2: Convert to fraction form
    5,711.84/8,567.76 = 2,249/x
  3. Step 3: Cross multiply
    5,711.84x = 8,567.76 × 2,249
  4. Step 4: Simplify right side
    5,711.84x = 19,268,892.24
  5. Step 5: Solve for x
    x = 19,268,892.24/5,711.84
  6. Step 6: Final answer
    x = 3,373.50

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Similar ratio
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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.