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Finding the Fourth Proportional to 5,203, 7,177.90 and 3,409.88

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Solution

The fourth proportional to 5,203, 7,177.90 and 3,409.88 is: 4,704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203 : 7,177.90 = 3,409.88 : x
  2. Step 2: Convert to fraction form
    5,203/7,177.90 = 3,409.88/x
  3. Step 3: Cross multiply
    5,203x = 7,177.90 × 3,409.88
  4. Step 4: Simplify right side
    5,203x = 24,475,777.65
  5. Step 5: Solve for x
    x = 24,475,777.65/5,203
  6. Step 6: Final answer
    x = 4,704.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.