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Finding the Fourth Proportional to 4,937.44, 6,815.04 and 2,842.24

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Solution

The fourth proportional to 4,937.44, 6,815.04 and 2,842.24 is: 3,923.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.44 : 6,815.04 = 2,842.24 : x
  2. Step 2: Convert to fraction form
    4,937.44/6,815.04 = 2,842.24/x
  3. Step 3: Cross multiply
    4,937.44x = 6,815.04 × 2,842.24
  4. Step 4: Simplify right side
    4,937.44x = 19,369,979.29
  5. Step 5: Solve for x
    x = 19,369,979.29/4,937.44
  6. Step 6: Final answer
    x = 3,923.08

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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.