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Finding the Fourth Proportional to 3,856.99, 5,323.16 and 2,865.10

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Solution

The fourth proportional to 3,856.99, 5,323.16 and 2,865.10 is: 3,954.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.99 : 5,323.16 = 2,865.10 : x
  2. Step 2: Convert to fraction form
    3,856.99/5,323.16 = 2,865.10/x
  3. Step 3: Cross multiply
    3,856.99x = 5,323.16 × 2,865.10
  4. Step 4: Simplify right side
    3,856.99x = 15,251,385.72
  5. Step 5: Solve for x
    x = 15,251,385.72/3,856.99
  6. Step 6: Final answer
    x = 3,954.22

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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.