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Finding the Fourth Proportional to 3,872.21, 5,808.54 and 1,098.67

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Solution

The fourth proportional to 3,872.21, 5,808.54 and 1,098.67 is: 1,648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.21 : 5,808.54 = 1,098.67 : x
  2. Step 2: Convert to fraction form
    3,872.21/5,808.54 = 1,098.67/x
  3. Step 3: Cross multiply
    3,872.21x = 5,808.54 × 1,098.67
  4. Step 4: Simplify right side
    3,872.21x = 6,381,643.23
  5. Step 5: Solve for x
    x = 6,381,643.23/3,872.21
  6. Step 6: Final answer
    x = 1,648.06

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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.