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Finding the Fourth Proportional to 3,872.29, 5,806.46 and 1,406.53

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Solution

The fourth proportional to 3,872.29, 5,806.46 and 1,406.53 is: 2,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.29 : 5,806.46 = 1,406.53 : x
  2. Step 2: Convert to fraction form
    3,872.29/5,806.46 = 1,406.53/x
  3. Step 3: Cross multiply
    3,872.29x = 5,806.46 × 1,406.53
  4. Step 4: Simplify right side
    3,872.29x = 8,166,953.15
  5. Step 5: Solve for x
    x = 8,166,953.15/3,872.29
  6. Step 6: Final answer
    x = 2,109.08

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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.