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Finding the Fourth Proportional to 5,258.96, 7,257.15 and 3,021.20

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Solution

The fourth proportional to 5,258.96, 7,257.15 and 3,021.20 is: 4,169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.96 : 7,257.15 = 3,021.20 : x
  2. Step 2: Convert to fraction form
    5,258.96/7,257.15 = 3,021.20/x
  3. Step 3: Cross multiply
    5,258.96x = 7,257.15 × 3,021.20
  4. Step 4: Simplify right side
    5,258.96x = 21,925,265.29
  5. Step 5: Solve for x
    x = 21,925,265.29/5,258.96
  6. Step 6: Final answer
    x = 4,169.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.