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Finding the Fourth Proportional to 4,957.02, 6,842.82 and 3,279.24

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Solution

The fourth proportional to 4,957.02, 6,842.82 and 3,279.24 is: 4,526.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.02 : 6,842.82 = 3,279.24 : x
  2. Step 2: Convert to fraction form
    4,957.02/6,842.82 = 3,279.24/x
  3. Step 3: Cross multiply
    4,957.02x = 6,842.82 × 3,279.24
  4. Step 4: Simplify right side
    4,957.02x = 22,439,249.06
  5. Step 5: Solve for x
    x = 22,439,249.06/4,957.02
  6. Step 6: Final answer
    x = 4,526.76

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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.