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Finding the Fourth Proportional to 4,805.32, 7,205.52 and 2,206

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Solution

The fourth proportional to 4,805.32, 7,205.52 and 2,206 is: 3,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.32 : 7,205.52 = 2,206 : x
  2. Step 2: Convert to fraction form
    4,805.32/7,205.52 = 2,206/x
  3. Step 3: Cross multiply
    4,805.32x = 7,205.52 × 2,206
  4. Step 4: Simplify right side
    4,805.32x = 15,895,377.12
  5. Step 5: Solve for x
    x = 15,895,377.12/4,805.32
  6. Step 6: Final answer
    x = 3,307.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.