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Finding the Fourth Proportional to 4,158.24, 5,739.36 and 2,502.24

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Solution

The fourth proportional to 4,158.24, 5,739.36 and 2,502.24 is: 3,453.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.24 : 5,739.36 = 2,502.24 : x
  2. Step 2: Convert to fraction form
    4,158.24/5,739.36 = 2,502.24/x
  3. Step 3: Cross multiply
    4,158.24x = 5,739.36 × 2,502.24
  4. Step 4: Simplify right side
    4,158.24x = 14,361,256.17
  5. Step 5: Solve for x
    x = 14,361,256.17/4,158.24
  6. Step 6: Final answer
    x = 3,453.69

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1.5x scale

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.