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Finding the Fourth Proportional to 5,305.84, 7,322.76 and 3,209.56

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Solution

The fourth proportional to 5,305.84, 7,322.76 and 3,209.56 is: 4,429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.84 : 7,322.76 = 3,209.56 : x
  2. Step 2: Convert to fraction form
    5,305.84/7,322.76 = 3,209.56/x
  3. Step 3: Cross multiply
    5,305.84x = 7,322.76 × 3,209.56
  4. Step 4: Simplify right side
    5,305.84x = 23,502,837.59
  5. Step 5: Solve for x
    x = 23,502,837.59/5,305.84
  6. Step 6: Final answer
    x = 4,429.62

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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.