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Finding the Fourth Proportional to 5,110.30, 7,169 and 5,110.30

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Solution

The fourth proportional to 5,110.30, 7,169 and 5,110.30 is: 7,169

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,110.30 : 7,169 = 5,110.30 : x
  2. Step 2: Convert to fraction form
    5,110.30/7,169 = 5,110.30/x
  3. Step 3: Cross multiply
    5,110.30x = 7,169 × 5,110.30
  4. Step 4: Simplify right side
    5,110.30x = 36,635,740.70
  5. Step 5: Solve for x
    x = 36,635,740.70/5,110.30
  6. Step 6: Final answer
    x = 7,169

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.