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Finding the Fourth Proportional to 3,807.62, 5,710.65 and 1,034.48

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Solution

The fourth proportional to 3,807.62, 5,710.65 and 1,034.48 is: 1,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.62 : 5,710.65 = 1,034.48 : x
  2. Step 2: Convert to fraction form
    3,807.62/5,710.65 = 1,034.48/x
  3. Step 3: Cross multiply
    3,807.62x = 5,710.65 × 1,034.48
  4. Step 4: Simplify right side
    3,807.62x = 5,907,524.66
  5. Step 5: Solve for x
    x = 5,907,524.66/3,807.62
  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.