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Finding the Fourth Proportional to 2,809.50, 3,876.84 and 2,715.13

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Solution

The fourth proportional to 2,809.50, 3,876.84 and 2,715.13 is: 3,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.50 : 3,876.84 = 2,715.13 : x
  2. Step 2: Convert to fraction form
    2,809.50/3,876.84 = 2,715.13/x
  3. Step 3: Cross multiply
    2,809.50x = 3,876.84 × 2,715.13
  4. Step 4: Simplify right side
    2,809.50x = 10,526,124.59
  5. Step 5: Solve for x
    x = 10,526,124.59/2,809.50
  6. Step 6: Final answer
    x = 3,746.62

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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.