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Finding the Fourth Proportional to 3,438.39, 5,155.64 and 1,097.84

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Solution

The fourth proportional to 3,438.39, 5,155.64 and 1,097.84 is: 1,646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.39 : 5,155.64 = 1,097.84 : x
  2. Step 2: Convert to fraction form
    3,438.39/5,155.64 = 1,097.84/x
  3. Step 3: Cross multiply
    3,438.39x = 5,155.64 × 1,097.84
  4. Step 4: Simplify right side
    3,438.39x = 5,660,083.45
  5. Step 5: Solve for x
    x = 5,660,083.45/3,438.39
  6. Step 6: Final answer
    x = 1,646.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.