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Finding the Fourth Proportional to 3,875.20, 5,813.20 and 1,278.14

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Solution

The fourth proportional to 3,875.20, 5,813.20 and 1,278.14 is: 1,917.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.20 : 5,813.20 = 1,278.14 : x
  2. Step 2: Convert to fraction form
    3,875.20/5,813.20 = 1,278.14/x
  3. Step 3: Cross multiply
    3,875.20x = 5,813.20 × 1,278.14
  4. Step 4: Simplify right side
    3,875.20x = 7,430,083.45
  5. Step 5: Solve for x
    x = 7,430,083.45/3,875.20
  6. Step 6: Final answer
    x = 1,917.34

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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.