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Finding the Fourth Proportional to 5,748.06, 7,929.39 and 3,860.06

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Solution

The fourth proportional to 5,748.06, 7,929.39 and 3,860.06 is: 5,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.06 : 7,929.39 = 3,860.06 : x
  2. Step 2: Convert to fraction form
    5,748.06/7,929.39 = 3,860.06/x
  3. Step 3: Cross multiply
    5,748.06x = 7,929.39 × 3,860.06
  4. Step 4: Simplify right side
    5,748.06x = 30,607,895.99
  5. Step 5: Solve for x
    x = 30,607,895.99/5,748.06
  6. Step 6: Final answer
    x = 5,324.91

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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.