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Finding the Fourth Proportional to 5,766.59, 8,649.53 and 2,301.35

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Solution

The fourth proportional to 5,766.59, 8,649.53 and 2,301.35 is: 3,451.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.59 : 8,649.53 = 2,301.35 : x
  2. Step 2: Convert to fraction form
    5,766.59/8,649.53 = 2,301.35/x
  3. Step 3: Cross multiply
    5,766.59x = 8,649.53 × 2,301.35
  4. Step 4: Simplify right side
    5,766.59x = 19,905,584.36
  5. Step 5: Solve for x
    x = 19,905,584.36/5,766.59
  6. Step 6: Final answer
    x = 3,451.88

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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.