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Finding the Fourth Proportional to 5,748.86, 8,625.42 and 2,464.52

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Solution

The fourth proportional to 5,748.86, 8,625.42 and 2,464.52 is: 3,697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.86 : 8,625.42 = 2,464.52 : x
  2. Step 2: Convert to fraction form
    5,748.86/8,625.42 = 2,464.52/x
  3. Step 3: Cross multiply
    5,748.86x = 8,625.42 × 2,464.52
  4. Step 4: Simplify right side
    5,748.86x = 21,257,476.97
  5. Step 5: Solve for x
    x = 21,257,476.97/5,748.86
  6. Step 6: Final answer
    x = 3,697.68

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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.