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Finding the Fourth Proportional to 4,722.78, 7,085.25 and 2,258.22

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Solution

The fourth proportional to 4,722.78, 7,085.25 and 2,258.22 is: 3,387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722.78 : 7,085.25 = 2,258.22 : x
  2. Step 2: Convert to fraction form
    4,722.78/7,085.25 = 2,258.22/x
  3. Step 3: Cross multiply
    4,722.78x = 7,085.25 × 2,258.22
  4. Step 4: Simplify right side
    4,722.78x = 16,000,053.26
  5. Step 5: Solve for x
    x = 16,000,053.26/4,722.78
  6. Step 6: Final answer
    x = 3,387.85

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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.