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Finding the Fourth Proportional to 3,675.68, 5,513.61 and 1,078.70

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Solution

The fourth proportional to 3,675.68, 5,513.61 and 1,078.70 is: 1,618.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.68 : 5,513.61 = 1,078.70 : x
  2. Step 2: Convert to fraction form
    3,675.68/5,513.61 = 1,078.70/x
  3. Step 3: Cross multiply
    3,675.68x = 5,513.61 × 1,078.70
  4. Step 4: Simplify right side
    3,675.68x = 5,947,531.11
  5. Step 5: Solve for x
    x = 5,947,531.11/3,675.68
  6. Step 6: Final answer
    x = 1,618.08

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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.