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Finding the Fourth Proportional to 3,760.07, 5,640.10 and 1,294.89

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Solution

The fourth proportional to 3,760.07, 5,640.10 and 1,294.89 is: 1,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.07 : 5,640.10 = 1,294.89 : x
  2. Step 2: Convert to fraction form
    3,760.07/5,640.10 = 1,294.89/x
  3. Step 3: Cross multiply
    3,760.07x = 5,640.10 × 1,294.89
  4. Step 4: Simplify right side
    3,760.07x = 7,303,283.34
  5. Step 5: Solve for x
    x = 7,303,283.34/3,760.07
  6. Step 6: Final answer
    x = 1,942.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.