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Finding the Fourth Proportional to 5,448.24, 7,525.44 and 4,738.68

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Solution

The fourth proportional to 5,448.24, 7,525.44 and 4,738.68 is: 6,545.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,448.24 : 7,525.44 = 4,738.68 : x
  2. Step 2: Convert to fraction form
    5,448.24/7,525.44 = 4,738.68/x
  3. Step 3: Cross multiply
    5,448.24x = 7,525.44 × 4,738.68
  4. Step 4: Simplify right side
    5,448.24x = 35,660,652.02
  5. Step 5: Solve for x
    x = 35,660,652.02/5,448.24
  6. Step 6: Final answer
    x = 6,545.35

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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.