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Finding the Fourth Proportional to 3,903.64, 5,856.82 and 1,955.40

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Solution

The fourth proportional to 3,903.64, 5,856.82 and 1,955.40 is: 2,933.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.64 : 5,856.82 = 1,955.40 : x
  2. Step 2: Convert to fraction form
    3,903.64/5,856.82 = 1,955.40/x
  3. Step 3: Cross multiply
    3,903.64x = 5,856.82 × 1,955.40
  4. Step 4: Simplify right side
    3,903.64x = 11,452,425.83
  5. Step 5: Solve for x
    x = 11,452,425.83/3,903.64
  6. Step 6: Final answer
    x = 2,933.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.