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Finding the Fourth Proportional to 3,864.11, 5,795.70 and 1,014.41

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Solution

The fourth proportional to 3,864.11, 5,795.70 and 1,014.41 is: 1,521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.11 : 5,795.70 = 1,014.41 : x
  2. Step 2: Convert to fraction form
    3,864.11/5,795.70 = 1,014.41/x
  3. Step 3: Cross multiply
    3,864.11x = 5,795.70 × 1,014.41
  4. Step 4: Simplify right side
    3,864.11x = 5,879,216.04
  5. Step 5: Solve for x
    x = 5,879,216.04/3,864.11
  6. Step 6: Final answer
    x = 1,521.49

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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.