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Finding the Fourth Proportional to 5,782.10, 7,977.16 and 3,793.76

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Solution

The fourth proportional to 5,782.10, 7,977.16 and 3,793.76 is: 5,233.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.10 : 7,977.16 = 3,793.76 : x
  2. Step 2: Convert to fraction form
    5,782.10/7,977.16 = 3,793.76/x
  3. Step 3: Cross multiply
    5,782.10x = 7,977.16 × 3,793.76
  4. Step 4: Simplify right side
    5,782.10x = 30,263,430.52
  5. Step 5: Solve for x
    x = 30,263,430.52/5,782.10
  6. Step 6: Final answer
    x = 5,233.99

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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.