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Finding the Fourth Proportional to 3,402, 5,103.18 and 936.77

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Solution

The fourth proportional to 3,402, 5,103.18 and 936.77 is: 1,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402 : 5,103.18 = 936.77 : x
  2. Step 2: Convert to fraction form
    3,402/5,103.18 = 936.77/x
  3. Step 3: Cross multiply
    3,402x = 5,103.18 × 936.77
  4. Step 4: Simplify right side
    3,402x = 4,780,475.73
  5. Step 5: Solve for x
    x = 4,780,475.73/3,402
  6. Step 6: Final answer
    x = 1,405.20

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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.