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Finding the Fourth Proportional to 3,574.24, 4,928.52 and 2,453.20

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Solution

The fourth proportional to 3,574.24, 4,928.52 and 2,453.20 is: 3,382.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.24 : 4,928.52 = 2,453.20 : x
  2. Step 2: Convert to fraction form
    3,574.24/4,928.52 = 2,453.20/x
  3. Step 3: Cross multiply
    3,574.24x = 4,928.52 × 2,453.20
  4. Step 4: Simplify right side
    3,574.24x = 12,090,645.26
  5. Step 5: Solve for x
    x = 12,090,645.26/3,574.24
  6. Step 6: Final answer
    x = 3,382.72

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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.