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Finding the Fourth Proportional to 5,762.58, 8,644.72 and 2,475.66

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Solution

The fourth proportional to 5,762.58, 8,644.72 and 2,475.66 is: 3,713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.58 : 8,644.72 = 2,475.66 : x
  2. Step 2: Convert to fraction form
    5,762.58/8,644.72 = 2,475.66/x
  3. Step 3: Cross multiply
    5,762.58x = 8,644.72 × 2,475.66
  4. Step 4: Simplify right side
    5,762.58x = 21,401,387.52
  5. Step 5: Solve for x
    x = 21,401,387.52/5,762.58
  6. Step 6: Final answer
    x = 3,713.86

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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.