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Finding the Fourth Proportional to 3,419.14, 4,718.42 and 1,847.24

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Solution

The fourth proportional to 3,419.14, 4,718.42 and 1,847.24 is: 2,549.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.14 : 4,718.42 = 1,847.24 : x
  2. Step 2: Convert to fraction form
    3,419.14/4,718.42 = 1,847.24/x
  3. Step 3: Cross multiply
    3,419.14x = 4,718.42 × 1,847.24
  4. Step 4: Simplify right side
    3,419.14x = 8,716,042.36
  5. Step 5: Solve for x
    x = 8,716,042.36/3,419.14
  6. Step 6: Final answer
    x = 2,549.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.