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Finding the Fourth Proportional to 4,640.24, 6,961.08 and 1,562

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Solution

The fourth proportional to 4,640.24, 6,961.08 and 1,562 is: 2,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.24 : 6,961.08 = 1,562 : x
  2. Step 2: Convert to fraction form
    4,640.24/6,961.08 = 1,562/x
  3. Step 3: Cross multiply
    4,640.24x = 6,961.08 × 1,562
  4. Step 4: Simplify right side
    4,640.24x = 10,873,206.96
  5. Step 5: Solve for x
    x = 10,873,206.96/4,640.24
  6. Step 6: Final answer
    x = 2,343.24

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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.