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Finding the Fourth Proportional to 3,462.41, 5,193.54 and 865.35

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Solution

The fourth proportional to 3,462.41, 5,193.54 and 865.35 is: 1,298.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.41 : 5,193.54 = 865.35 : x
  2. Step 2: Convert to fraction form
    3,462.41/5,193.54 = 865.35/x
  3. Step 3: Cross multiply
    3,462.41x = 5,193.54 × 865.35
  4. Step 4: Simplify right side
    3,462.41x = 4,494,229.84
  5. Step 5: Solve for x
    x = 4,494,229.84/3,462.41
  6. Step 6: Final answer
    x = 1,298.01

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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.