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Finding the Fourth Proportional to 5,044, 6,960.80 and 3,184.32

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Solution

The fourth proportional to 5,044, 6,960.80 and 3,184.32 is: 4,394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044 : 6,960.80 = 3,184.32 : x
  2. Step 2: Convert to fraction form
    5,044/6,960.80 = 3,184.32/x
  3. Step 3: Cross multiply
    5,044x = 6,960.80 × 3,184.32
  4. Step 4: Simplify right side
    5,044x = 22,165,414.66
  5. Step 5: Solve for x
    x = 22,165,414.66/5,044
  6. Step 6: Final answer
    x = 4,394.41

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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.