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Finding the Fourth Proportional to 3,788.66, 5,228.75 and 2,218.07

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Solution

The fourth proportional to 3,788.66, 5,228.75 and 2,218.07 is: 3,061.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.66 : 5,228.75 = 2,218.07 : x
  2. Step 2: Convert to fraction form
    3,788.66/5,228.75 = 2,218.07/x
  3. Step 3: Cross multiply
    3,788.66x = 5,228.75 × 2,218.07
  4. Step 4: Simplify right side
    3,788.66x = 11,597,733.51
  5. Step 5: Solve for x
    x = 11,597,733.51/3,788.66
  6. Step 6: Final answer
    x = 3,061.17

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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.