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Finding the Fourth Proportional to 5,777.95, 7,974.89 and 4,832.10

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Solution

The fourth proportional to 5,777.95, 7,974.89 and 4,832.10 is: 6,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.95 : 7,974.89 = 4,832.10 : x
  2. Step 2: Convert to fraction form
    5,777.95/7,974.89 = 4,832.10/x
  3. Step 3: Cross multiply
    5,777.95x = 7,974.89 × 4,832.10
  4. Step 4: Simplify right side
    5,777.95x = 38,535,465.97
  5. Step 5: Solve for x
    x = 38,535,465.97/5,777.95
  6. Step 6: Final answer
    x = 6,669.40

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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.