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Finding the Fourth Proportional to 5,307.09, 7,949.70 and 3,109.16

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Solution

The fourth proportional to 5,307.09, 7,949.70 and 3,109.16 is: 4,657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.09 : 7,949.70 = 3,109.16 : x
  2. Step 2: Convert to fraction form
    5,307.09/7,949.70 = 3,109.16/x
  3. Step 3: Cross multiply
    5,307.09x = 7,949.70 × 3,109.16
  4. Step 4: Simplify right side
    5,307.09x = 24,716,849.50
  5. Step 5: Solve for x
    x = 24,716,849.50/5,307.09
  6. Step 6: Final answer
    x = 4,657.33

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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.