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Finding the Fourth Proportional to 4,074, 5,622.48 and 2,305.68

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Solution

The fourth proportional to 4,074, 5,622.48 and 2,305.68 is: 3,182.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074 : 5,622.48 = 2,305.68 : x
  2. Step 2: Convert to fraction form
    4,074/5,622.48 = 2,305.68/x
  3. Step 3: Cross multiply
    4,074x = 5,622.48 × 2,305.68
  4. Step 4: Simplify right side
    4,074x = 12,963,639.69
  5. Step 5: Solve for x
    x = 12,963,639.69/4,074
  6. Step 6: Final answer
    x = 3,182.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.