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Finding the Fourth Proportional to 3,788.75, 5,228.88 and 2,218.16

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Solution

The fourth proportional to 3,788.75, 5,228.88 and 2,218.16 is: 3,061.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.75 : 5,228.88 = 2,218.16 : x
  2. Step 2: Convert to fraction form
    3,788.75/5,228.88 = 2,218.16/x
  3. Step 3: Cross multiply
    3,788.75x = 5,228.88 × 2,218.16
  4. Step 4: Simplify right side
    3,788.75x = 11,598,492.46
  5. Step 5: Solve for x
    x = 11,598,492.46/3,788.75
  6. Step 6: Final answer
    x = 3,061.30

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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.