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Finding the Fourth Proportional to 3,804.57, 5,706.86 and 1,031.24

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Solution

The fourth proportional to 3,804.57, 5,706.86 and 1,031.24 is: 1,546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.57 : 5,706.86 = 1,031.24 : x
  2. Step 2: Convert to fraction form
    3,804.57/5,706.86 = 1,031.24/x
  3. Step 3: Cross multiply
    3,804.57x = 5,706.86 × 1,031.24
  4. Step 4: Simplify right side
    3,804.57x = 5,885,151.42
  5. Step 5: Solve for x
    x = 5,885,151.42/3,804.57
  6. Step 6: Final answer
    x = 1,546.86

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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.