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Finding the Fourth Proportional to 5,775.09, 7,970.99 and 3,678

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Solution

The fourth proportional to 5,775.09, 7,970.99 and 3,678 is: 5,076.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.09 : 7,970.99 = 3,678 : x
  2. Step 2: Convert to fraction form
    5,775.09/7,970.99 = 3,678/x
  3. Step 3: Cross multiply
    5,775.09x = 7,970.99 × 3,678
  4. Step 4: Simplify right side
    5,775.09x = 29,317,282.83
  5. Step 5: Solve for x
    x = 29,317,282.83/5,775.09
  6. Step 6: Final answer
    x = 5,076.51

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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.