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Finding the Fourth Proportional to 5,689.07, 7,850.67 and 4,196.45

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Solution

The fourth proportional to 5,689.07, 7,850.67 and 4,196.45 is: 5,790.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.07 : 7,850.67 = 4,196.45 : x
  2. Step 2: Convert to fraction form
    5,689.07/7,850.67 = 4,196.45/x
  3. Step 3: Cross multiply
    5,689.07x = 7,850.67 × 4,196.45
  4. Step 4: Simplify right side
    5,689.07x = 32,944,904.87
  5. Step 5: Solve for x
    x = 32,944,904.87/5,689.07
  6. Step 6: Final answer
    x = 5,790.92

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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.