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Finding the Fourth Proportional to 3,873, 5,813.14 and 1,410.18

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Solution

The fourth proportional to 3,873, 5,813.14 and 1,410.18 is: 2,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873 : 5,813.14 = 1,410.18 : x
  2. Step 2: Convert to fraction form
    3,873/5,813.14 = 1,410.18/x
  3. Step 3: Cross multiply
    3,873x = 5,813.14 × 1,410.18
  4. Step 4: Simplify right side
    3,873x = 8,197,573.77
  5. Step 5: Solve for x
    x = 8,197,573.77/3,873
  6. Step 6: Final answer
    x = 2,116.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.