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Finding the Fourth Proportional to 3,788.67, 5,228.19 and 2,110.16

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Solution

The fourth proportional to 3,788.67, 5,228.19 and 2,110.16 is: 2,911.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.67 : 5,228.19 = 2,110.16 : x
  2. Step 2: Convert to fraction form
    3,788.67/5,228.19 = 2,110.16/x
  3. Step 3: Cross multiply
    3,788.67x = 5,228.19 × 2,110.16
  4. Step 4: Simplify right side
    3,788.67x = 11,032,291.27
  5. Step 5: Solve for x
    x = 11,032,291.27/3,788.67
  6. Step 6: Final answer
    x = 2,911.92

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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.