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Finding the Fourth Proportional to 3,871.90, 5,808.07 and 1,098.35

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Solution

The fourth proportional to 3,871.90, 5,808.07 and 1,098.35 is: 1,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.90 : 5,808.07 = 1,098.35 : x
  2. Step 2: Convert to fraction form
    3,871.90/5,808.07 = 1,098.35/x
  3. Step 3: Cross multiply
    3,871.90x = 5,808.07 × 1,098.35
  4. Step 4: Simplify right side
    3,871.90x = 6,379,320.47
  5. Step 5: Solve for x
    x = 6,379,320.47/3,871.90
  6. Step 6: Final answer
    x = 1,647.59

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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.