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Finding the Fourth Proportional to 4,148.70, 6,222.96 and 1,956.24

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Solution

The fourth proportional to 4,148.70, 6,222.96 and 1,956.24 is: 2,934.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.70 : 6,222.96 = 1,956.24 : x
  2. Step 2: Convert to fraction form
    4,148.70/6,222.96 = 1,956.24/x
  3. Step 3: Cross multiply
    4,148.70x = 6,222.96 × 1,956.24
  4. Step 4: Simplify right side
    4,148.70x = 12,173,603.27
  5. Step 5: Solve for x
    x = 12,173,603.27/4,148.70
  6. Step 6: Final answer
    x = 2,934.32

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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.