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Finding the Fourth Proportional to 4,098.86, 6,145.85 and 1,908.08

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Solution

The fourth proportional to 4,098.86, 6,145.85 and 1,908.08 is: 2,860.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.86 : 6,145.85 = 1,908.08 : x
  2. Step 2: Convert to fraction form
    4,098.86/6,145.85 = 1,908.08/x
  3. Step 3: Cross multiply
    4,098.86x = 6,145.85 × 1,908.08
  4. Step 4: Simplify right side
    4,098.86x = 11,726,747.51
  5. Step 5: Solve for x
    x = 11,726,747.51/4,098.86
  6. Step 6: Final answer
    x = 2,860.98

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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.