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Finding the Fourth Proportional to 3,891.10, 5,833.36 and 1,698.16

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Solution

The fourth proportional to 3,891.10, 5,833.36 and 1,698.16 is: 2,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.10 : 5,833.36 = 1,698.16 : x
  2. Step 2: Convert to fraction form
    3,891.10/5,833.36 = 1,698.16/x
  3. Step 3: Cross multiply
    3,891.10x = 5,833.36 × 1,698.16
  4. Step 4: Simplify right side
    3,891.10x = 9,905,978.62
  5. Step 5: Solve for x
    x = 9,905,978.62/3,891.10
  6. Step 6: Final answer
    x = 2,545.80

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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.