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Finding the Fourth Proportional to 4,967.74, 7,452.33 and 1,505.26

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Solution

The fourth proportional to 4,967.74, 7,452.33 and 1,505.26 is: 2,258.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.74 : 7,452.33 = 1,505.26 : x
  2. Step 2: Convert to fraction form
    4,967.74/7,452.33 = 1,505.26/x
  3. Step 3: Cross multiply
    4,967.74x = 7,452.33 × 1,505.26
  4. Step 4: Simplify right side
    4,967.74x = 11,217,694.26
  5. Step 5: Solve for x
    x = 11,217,694.26/4,967.74
  6. Step 6: Final answer
    x = 2,258.11

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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.