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Finding the Fourth Proportional to 3,875.70, 5,811.81 and 1,242.72

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Solution

The fourth proportional to 3,875.70, 5,811.81 and 1,242.72 is: 1,863.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.70 : 5,811.81 = 1,242.72 : x
  2. Step 2: Convert to fraction form
    3,875.70/5,811.81 = 1,242.72/x
  3. Step 3: Cross multiply
    3,875.70x = 5,811.81 × 1,242.72
  4. Step 4: Simplify right side
    3,875.70x = 7,222,452.52
  5. Step 5: Solve for x
    x = 7,222,452.52/3,875.70
  6. Step 6: Final answer
    x = 1,863.52

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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.