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Finding the Fourth Proportional to 3,807.56, 5,710.86 and 1,034.44

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Solution

The fourth proportional to 3,807.56, 5,710.86 and 1,034.44 is: 1,551.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.56 : 5,710.86 = 1,034.44 : x
  2. Step 2: Convert to fraction form
    3,807.56/5,710.86 = 1,034.44/x
  3. Step 3: Cross multiply
    3,807.56x = 5,710.86 × 1,034.44
  4. Step 4: Simplify right side
    3,807.56x = 5,907,542.02
  5. Step 5: Solve for x
    x = 5,907,542.02/3,807.56
  6. Step 6: Final answer
    x = 1,551.53

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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.