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Finding the Fourth Proportional to 4,330.24, 5,976.48 and 4,186.24

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Solution

The fourth proportional to 4,330.24, 5,976.48 and 4,186.24 is: 5,777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330.24 : 5,976.48 = 4,186.24 : x
  2. Step 2: Convert to fraction form
    4,330.24/5,976.48 = 4,186.24/x
  3. Step 3: Cross multiply
    4,330.24x = 5,976.48 × 4,186.24
  4. Step 4: Simplify right side
    4,330.24x = 25,018,979.64
  5. Step 5: Solve for x
    x = 25,018,979.64/4,330.24
  6. Step 6: Final answer
    x = 5,777.74

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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.