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Finding the Fourth Proportional to 3,813.19, 5,718.92 and 1,937.18

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Solution

The fourth proportional to 3,813.19, 5,718.92 and 1,937.18 is: 2,905.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.19 : 5,718.92 = 1,937.18 : x
  2. Step 2: Convert to fraction form
    3,813.19/5,718.92 = 1,937.18/x
  3. Step 3: Cross multiply
    3,813.19x = 5,718.92 × 1,937.18
  4. Step 4: Simplify right side
    3,813.19x = 11,078,577.45
  5. Step 5: Solve for x
    x = 11,078,577.45/3,813.19
  6. Step 6: Final answer
    x = 2,905.33

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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.