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Finding the Fourth Proportional to 4,356.24, 6,042.45 and 4,206.88

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Solution

The fourth proportional to 4,356.24, 6,042.45 and 4,206.88 is: 5,835.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,356.24 : 6,042.45 = 4,206.88 : x
  2. Step 2: Convert to fraction form
    4,356.24/6,042.45 = 4,206.88/x
  3. Step 3: Cross multiply
    4,356.24x = 6,042.45 × 4,206.88
  4. Step 4: Simplify right side
    4,356.24x = 25,419,877.16
  5. Step 5: Solve for x
    x = 25,419,877.16/4,356.24
  6. Step 6: Final answer
    x = 5,835.29

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.