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Finding the Fourth Proportional to 3,491.52, 5,238.24 and 1,410.24

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Solution

The fourth proportional to 3,491.52, 5,238.24 and 1,410.24 is: 2,115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.52 : 5,238.24 = 1,410.24 : x
  2. Step 2: Convert to fraction form
    3,491.52/5,238.24 = 1,410.24/x
  3. Step 3: Cross multiply
    3,491.52x = 5,238.24 × 1,410.24
  4. Step 4: Simplify right side
    3,491.52x = 7,387,175.58
  5. Step 5: Solve for x
    x = 7,387,175.58/3,491.52
  6. Step 6: Final answer
    x = 2,115.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.