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Finding the Fourth Proportional to 3,981.84, 5,494.14 and 3,386.76

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Solution

The fourth proportional to 3,981.84, 5,494.14 and 3,386.76 is: 4,673.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.84 : 5,494.14 = 3,386.76 : x
  2. Step 2: Convert to fraction form
    3,981.84/5,494.14 = 3,386.76/x
  3. Step 3: Cross multiply
    3,981.84x = 5,494.14 × 3,386.76
  4. Step 4: Simplify right side
    3,981.84x = 18,607,333.59
  5. Step 5: Solve for x
    x = 18,607,333.59/3,981.84
  6. Step 6: Final answer
    x = 4,673.05

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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.