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Finding the Fourth Proportional to 3,288.40, 4,925.40 and 2,856.40

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Solution

The fourth proportional to 3,288.40, 4,925.40 and 2,856.40 is: 4,278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.40 : 4,925.40 = 2,856.40 : x
  2. Step 2: Convert to fraction form
    3,288.40/4,925.40 = 2,856.40/x
  3. Step 3: Cross multiply
    3,288.40x = 4,925.40 × 2,856.40
  4. Step 4: Simplify right side
    3,288.40x = 14,068,912.56
  5. Step 5: Solve for x
    x = 14,068,912.56/3,288.40
  6. Step 6: Final answer
    x = 4,278.35

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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.