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Finding the Fourth Proportional to 4,322.64, 5,959.79 and 2,828.19

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Solution

The fourth proportional to 4,322.64, 5,959.79 and 2,828.19 is: 3,899.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.64 : 5,959.79 = 2,828.19 : x
  2. Step 2: Convert to fraction form
    4,322.64/5,959.79 = 2,828.19/x
  3. Step 3: Cross multiply
    4,322.64x = 5,959.79 × 2,828.19
  4. Step 4: Simplify right side
    4,322.64x = 16,855,404.34
  5. Step 5: Solve for x
    x = 16,855,404.34/4,322.64
  6. Step 6: Final answer
    x = 3,899.33

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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.