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Finding the Fourth Proportional to 3,760.18, 5,640.88 and 1,294.40

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Solution

The fourth proportional to 3,760.18, 5,640.88 and 1,294.40 is: 1,941.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.18 : 5,640.88 = 1,294.40 : x
  2. Step 2: Convert to fraction form
    3,760.18/5,640.88 = 1,294.40/x
  3. Step 3: Cross multiply
    3,760.18x = 5,640.88 × 1,294.40
  4. Step 4: Simplify right side
    3,760.18x = 7,301,555.07
  5. Step 5: Solve for x
    x = 7,301,555.07/3,760.18
  6. Step 6: Final answer
    x = 1,941.81

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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.