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Finding the Fourth Proportional to 4,378, 6,523.22 and 4,042.66

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Solution

The fourth proportional to 4,378, 6,523.22 and 4,042.66 is: 6,023.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378 : 6,523.22 = 4,042.66 : x
  2. Step 2: Convert to fraction form
    4,378/6,523.22 = 4,042.66/x
  3. Step 3: Cross multiply
    4,378x = 6,523.22 × 4,042.66
  4. Step 4: Simplify right side
    4,378x = 26,371,160.57
  5. Step 5: Solve for x
    x = 26,371,160.57/4,378
  6. Step 6: Final answer
    x = 6,023.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.