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Finding the Fourth Proportional to 3,810.62, 5,258.13 and 2,217.14

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Solution

The fourth proportional to 3,810.62, 5,258.13 and 2,217.14 is: 3,059.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.62 : 5,258.13 = 2,217.14 : x
  2. Step 2: Convert to fraction form
    3,810.62/5,258.13 = 2,217.14/x
  3. Step 3: Cross multiply
    3,810.62x = 5,258.13 × 2,217.14
  4. Step 4: Simplify right side
    3,810.62x = 11,658,015.18
  5. Step 5: Solve for x
    x = 11,658,015.18/3,810.62
  6. Step 6: Final answer
    x = 3,059.35

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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.