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Finding the Fourth Proportional to 5,044.16, 6,958.64 and 3,275.84

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Solution

The fourth proportional to 5,044.16, 6,958.64 and 3,275.84 is: 4,519.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.16 : 6,958.64 = 3,275.84 : x
  2. Step 2: Convert to fraction form
    5,044.16/6,958.64 = 3,275.84/x
  3. Step 3: Cross multiply
    5,044.16x = 6,958.64 × 3,275.84
  4. Step 4: Simplify right side
    5,044.16x = 22,795,391.26
  5. Step 5: Solve for x
    x = 22,795,391.26/5,044.16
  6. Step 6: Final answer
    x = 4,519.16

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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.