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Finding the Fourth Proportional to 3,807.74, 5,711.73 and 1,034.41

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Solution

The fourth proportional to 3,807.74, 5,711.73 and 1,034.41 is: 1,551.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.74 : 5,711.73 = 1,034.41 : x
  2. Step 2: Convert to fraction form
    3,807.74/5,711.73 = 1,034.41/x
  3. Step 3: Cross multiply
    3,807.74x = 5,711.73 × 1,034.41
  4. Step 4: Simplify right side
    3,807.74x = 5,908,270.63
  5. Step 5: Solve for x
    x = 5,908,270.63/3,807.74
  6. Step 6: Final answer
    x = 1,551.65

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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.