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Finding the Fourth Proportional to 3,866.68, 5,800.34 and 1,093.38

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Solution

The fourth proportional to 3,866.68, 5,800.34 and 1,093.38 is: 1,640.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.68 : 5,800.34 = 1,093.38 : x
  2. Step 2: Convert to fraction form
    3,866.68/5,800.34 = 1,093.38/x
  3. Step 3: Cross multiply
    3,866.68x = 5,800.34 × 1,093.38
  4. Step 4: Simplify right side
    3,866.68x = 6,341,941.28
  5. Step 5: Solve for x
    x = 6,341,941.28/3,866.68
  6. Step 6: Final answer
    x = 1,640.15

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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.