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Finding the Fourth Proportional to 3,055.84, 4,228.17 and 2,663.68

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Solution

The fourth proportional to 3,055.84, 4,228.17 and 2,663.68 is: 3,685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.84 : 4,228.17 = 2,663.68 : x
  2. Step 2: Convert to fraction form
    3,055.84/4,228.17 = 2,663.68/x
  3. Step 3: Cross multiply
    3,055.84x = 4,228.17 × 2,663.68
  4. Step 4: Simplify right side
    3,055.84x = 11,262,491.87
  5. Step 5: Solve for x
    x = 11,262,491.87/3,055.84
  6. Step 6: Final answer
    x = 3,685.56

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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.