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Finding the Fourth Proportional to 5,777.84, 7,974.36 and 4,295.60

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Solution

The fourth proportional to 5,777.84, 7,974.36 and 4,295.60 is: 5,928.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.84 : 7,974.36 = 4,295.60 : x
  2. Step 2: Convert to fraction form
    5,777.84/7,974.36 = 4,295.60/x
  3. Step 3: Cross multiply
    5,777.84x = 7,974.36 × 4,295.60
  4. Step 4: Simplify right side
    5,777.84x = 34,254,660.82
  5. Step 5: Solve for x
    x = 34,254,660.82/5,777.84
  6. Step 6: Final answer
    x = 5,928.63

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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.