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Finding the Fourth Proportional to 3,788.50, 5,228.13 and 2,216.65

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Solution

The fourth proportional to 3,788.50, 5,228.13 and 2,216.65 is: 3,058.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.50 : 5,228.13 = 2,216.65 : x
  2. Step 2: Convert to fraction form
    3,788.50/5,228.13 = 2,216.65/x
  3. Step 3: Cross multiply
    3,788.50x = 5,228.13 × 2,216.65
  4. Step 4: Simplify right side
    3,788.50x = 11,588,934.36
  5. Step 5: Solve for x
    x = 11,588,934.36/3,788.50
  6. Step 6: Final answer
    x = 3,058.98

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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.