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Finding the Fourth Proportional to 5,766.84, 8,649.90 and 2,301.60

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Solution

The fourth proportional to 5,766.84, 8,649.90 and 2,301.60 is: 3,452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.84 : 8,649.90 = 2,301.60 : x
  2. Step 2: Convert to fraction form
    5,766.84/8,649.90 = 2,301.60/x
  3. Step 3: Cross multiply
    5,766.84x = 8,649.90 × 2,301.60
  4. Step 4: Simplify right side
    5,766.84x = 19,908,609.84
  5. Step 5: Solve for x
    x = 19,908,609.84/5,766.84
  6. Step 6: Final answer
    x = 3,452.26

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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.