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Finding the Fourth Proportional to 4,332.78, 5,976.18 and 4,188.11

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Solution

The fourth proportional to 4,332.78, 5,976.18 and 4,188.11 is: 5,776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.78 : 5,976.18 = 4,188.11 : x
  2. Step 2: Convert to fraction form
    4,332.78/5,976.18 = 4,188.11/x
  3. Step 3: Cross multiply
    4,332.78x = 5,976.18 × 4,188.11
  4. Step 4: Simplify right side
    4,332.78x = 25,028,869.34
  5. Step 5: Solve for x
    x = 25,028,869.34/4,332.78
  6. Step 6: Final answer
    x = 5,776.63

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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.