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Finding the Fourth Proportional to 3,807.40, 5,711.05 and 1,034.34

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Solution

The fourth proportional to 3,807.40, 5,711.05 and 1,034.34 is: 1,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.40 : 5,711.05 = 1,034.34 : x
  2. Step 2: Convert to fraction form
    3,807.40/5,711.05 = 1,034.34/x
  3. Step 3: Cross multiply
    3,807.40x = 5,711.05 × 1,034.34
  4. Step 4: Simplify right side
    3,807.40x = 5,907,167.46
  5. Step 5: Solve for x
    x = 5,907,167.46/3,807.40
  6. Step 6: Final answer
    x = 1,551.50

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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.