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Finding the Fourth Proportional to 3,856.68, 5,756.81 and 3,312.36

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Solution

The fourth proportional to 3,856.68, 5,756.81 and 3,312.36 is: 4,944.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.68 : 5,756.81 = 3,312.36 : x
  2. Step 2: Convert to fraction form
    3,856.68/5,756.81 = 3,312.36/x
  3. Step 3: Cross multiply
    3,856.68x = 5,756.81 × 3,312.36
  4. Step 4: Simplify right side
    3,856.68x = 19,068,610.61
  5. Step 5: Solve for x
    x = 19,068,610.61/3,856.68
  6. Step 6: Final answer
    x = 4,944.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.