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Finding the Fourth Proportional to 5,777.73, 7,972.79 and 3,419.46

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Solution

The fourth proportional to 5,777.73, 7,972.79 and 3,419.46 is: 4,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.73 : 7,972.79 = 3,419.46 : x
  2. Step 2: Convert to fraction form
    5,777.73/7,972.79 = 3,419.46/x
  3. Step 3: Cross multiply
    5,777.73x = 7,972.79 × 3,419.46
  4. Step 4: Simplify right side
    5,777.73x = 27,262,619.40
  5. Step 5: Solve for x
    x = 27,262,619.40/5,777.73
  6. Step 6: Final answer
    x = 4,718.57

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1.5x scale

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.