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Finding the Fourth Proportional to 2,876.71, 3,964.75 and 2,477.35

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Solution

The fourth proportional to 2,876.71, 3,964.75 and 2,477.35 is: 3,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.71 : 3,964.75 = 2,477.35 : x
  2. Step 2: Convert to fraction form
    2,876.71/3,964.75 = 2,477.35/x
  3. Step 3: Cross multiply
    2,876.71x = 3,964.75 × 2,477.35
  4. Step 4: Simplify right side
    2,876.71x = 9,822,073.41
  5. Step 5: Solve for x
    x = 9,822,073.41/2,876.71
  6. Step 6: Final answer
    x = 3,414.34

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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.