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Finding the Fourth Proportional to 5,773.30, 8,648.54 and 3,001.78

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Solution

The fourth proportional to 5,773.30, 8,648.54 and 3,001.78 is: 4,496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.30 : 8,648.54 = 3,001.78 : x
  2. Step 2: Convert to fraction form
    5,773.30/8,648.54 = 3,001.78/x
  3. Step 3: Cross multiply
    5,773.30x = 8,648.54 × 3,001.78
  4. Step 4: Simplify right side
    5,773.30x = 25,961,014.40
  5. Step 5: Solve for x
    x = 25,961,014.40/5,773.30
  6. Step 6: Final answer
    x = 4,496.74

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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.