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Finding the Fourth Proportional to 5,764.35, 8,645.16 and 2,642.42

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Solution

The fourth proportional to 5,764.35, 8,645.16 and 2,642.42 is: 3,963.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.35 : 8,645.16 = 2,642.42 : x
  2. Step 2: Convert to fraction form
    5,764.35/8,645.16 = 2,642.42/x
  3. Step 3: Cross multiply
    5,764.35x = 8,645.16 × 2,642.42
  4. Step 4: Simplify right side
    5,764.35x = 22,844,100.46
  5. Step 5: Solve for x
    x = 22,844,100.46/5,764.35
  6. Step 6: Final answer
    x = 3,963.00

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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.