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Finding the Fourth Proportional to 5,653.46, 7,805.64 and 3,532.22

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Solution

The fourth proportional to 5,653.46, 7,805.64 and 3,532.22 is: 4,876.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.46 : 7,805.64 = 3,532.22 : x
  2. Step 2: Convert to fraction form
    5,653.46/7,805.64 = 3,532.22/x
  3. Step 3: Cross multiply
    5,653.46x = 7,805.64 × 3,532.22
  4. Step 4: Simplify right side
    5,653.46x = 27,571,257.23
  5. Step 5: Solve for x
    x = 27,571,257.23/5,653.46
  6. Step 6: Final answer
    x = 4,876.88

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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.