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Finding the Fourth Proportional to 4,332.48, 5,978.86 and 2,469.60

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Solution

The fourth proportional to 4,332.48, 5,978.86 and 2,469.60 is: 3,408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.48 : 5,978.86 = 2,469.60 : x
  2. Step 2: Convert to fraction form
    4,332.48/5,978.86 = 2,469.60/x
  3. Step 3: Cross multiply
    4,332.48x = 5,978.86 × 2,469.60
  4. Step 4: Simplify right side
    4,332.48x = 14,765,392.66
  5. Step 5: Solve for x
    x = 14,765,392.66/4,332.48
  6. Step 6: Final answer
    x = 3,408.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.