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Finding the Fourth Proportional to 3,872.60, 5,804.85 and 1,406.42

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Solution

The fourth proportional to 3,872.60, 5,804.85 and 1,406.42 is: 2,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.60 : 5,804.85 = 1,406.42 : x
  2. Step 2: Convert to fraction form
    3,872.60/5,804.85 = 1,406.42/x
  3. Step 3: Cross multiply
    3,872.60x = 5,804.85 × 1,406.42
  4. Step 4: Simplify right side
    3,872.60x = 8,164,057.14
  5. Step 5: Solve for x
    x = 8,164,057.14/3,872.60
  6. Step 6: Final answer
    x = 2,108.16

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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.