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Finding the Fourth Proportional to 4,322.54, 5,965.98 and 3,575.72

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Solution

The fourth proportional to 4,322.54, 5,965.98 and 3,575.72 is: 4,935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.54 : 5,965.98 = 3,575.72 : x
  2. Step 2: Convert to fraction form
    4,322.54/5,965.98 = 3,575.72/x
  3. Step 3: Cross multiply
    4,322.54x = 5,965.98 × 3,575.72
  4. Step 4: Simplify right side
    4,322.54x = 21,332,674.01
  5. Step 5: Solve for x
    x = 21,332,674.01/4,322.54
  6. Step 6: Final answer
    x = 4,935.22

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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.