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Finding the Fourth Proportional to 3,401.71, 5,102.53 and 936.52

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Solution

The fourth proportional to 3,401.71, 5,102.53 and 936.52 is: 1,404.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.71 : 5,102.53 = 936.52 : x
  2. Step 2: Convert to fraction form
    3,401.71/5,102.53 = 936.52/x
  3. Step 3: Cross multiply
    3,401.71x = 5,102.53 × 936.52
  4. Step 4: Simplify right side
    3,401.71x = 4,778,621.40
  5. Step 5: Solve for x
    x = 4,778,621.40/3,401.71
  6. Step 6: Final answer
    x = 1,404.77

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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.