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Finding the Fourth Proportional to 3,876.42, 5,814.03 and 1,410.87

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Solution

The fourth proportional to 3,876.42, 5,814.03 and 1,410.87 is: 2,116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.42 : 5,814.03 = 1,410.87 : x
  2. Step 2: Convert to fraction form
    3,876.42/5,814.03 = 1,410.87/x
  3. Step 3: Cross multiply
    3,876.42x = 5,814.03 × 1,410.87
  4. Step 4: Simplify right side
    3,876.42x = 8,202,840.51
  5. Step 5: Solve for x
    x = 8,202,840.51/3,876.42
  6. Step 6: Final answer
    x = 2,116.09

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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.