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Finding the Fourth Proportional to 2,956.40, 4,435.22 and 2,472.83

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Solution

The fourth proportional to 2,956.40, 4,435.22 and 2,472.83 is: 3,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.40 : 4,435.22 = 2,472.83 : x
  2. Step 2: Convert to fraction form
    2,956.40/4,435.22 = 2,472.83/x
  3. Step 3: Cross multiply
    2,956.40x = 4,435.22 × 2,472.83
  4. Step 4: Simplify right side
    2,956.40x = 10,967,545.71
  5. Step 5: Solve for x
    x = 10,967,545.71/2,956.40
  6. Step 6: Final answer
    x = 3,709.77

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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.