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Finding the Fourth Proportional to 2,820.87, 3,886.32 and 2,689.65

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Solution

The fourth proportional to 2,820.87, 3,886.32 and 2,689.65 is: 3,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.87 : 3,886.32 = 2,689.65 : x
  2. Step 2: Convert to fraction form
    2,820.87/3,886.32 = 2,689.65/x
  3. Step 3: Cross multiply
    2,820.87x = 3,886.32 × 2,689.65
  4. Step 4: Simplify right side
    2,820.87x = 10,452,840.59
  5. Step 5: Solve for x
    x = 10,452,840.59/2,820.87
  6. Step 6: Final answer
    x = 3,705.54

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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.