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Finding the Fourth Proportional to 3,856.78, 5,316.70 and 2,734.24

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Solution

The fourth proportional to 3,856.78, 5,316.70 and 2,734.24 is: 3,769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.78 : 5,316.70 = 2,734.24 : x
  2. Step 2: Convert to fraction form
    3,856.78/5,316.70 = 2,734.24/x
  3. Step 3: Cross multiply
    3,856.78x = 5,316.70 × 2,734.24
  4. Step 4: Simplify right side
    3,856.78x = 14,537,133.81
  5. Step 5: Solve for x
    x = 14,537,133.81/3,856.78
  6. Step 6: Final answer
    x = 3,769.24

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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.