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Finding the Fourth Proportional to 5,764.12, 8,649.30 and 4,029.40

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Solution

The fourth proportional to 5,764.12, 8,649.30 and 4,029.40 is: 6,046.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.12 : 8,649.30 = 4,029.40 : x
  2. Step 2: Convert to fraction form
    5,764.12/8,649.30 = 4,029.40/x
  3. Step 3: Cross multiply
    5,764.12x = 8,649.30 × 4,029.40
  4. Step 4: Simplify right side
    5,764.12x = 34,851,489.42
  5. Step 5: Solve for x
    x = 34,851,489.42/5,764.12
  6. Step 6: Final answer
    x = 6,046.28

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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.