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Finding the Fourth Proportional to 3,474.95, 4,793.64 and 2,355.50

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Solution

The fourth proportional to 3,474.95, 4,793.64 and 2,355.50 is: 3,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.95 : 4,793.64 = 2,355.50 : x
  2. Step 2: Convert to fraction form
    3,474.95/4,793.64 = 2,355.50/x
  3. Step 3: Cross multiply
    3,474.95x = 4,793.64 × 2,355.50
  4. Step 4: Simplify right side
    3,474.95x = 11,291,422.17
  5. Step 5: Solve for x
    x = 11,291,422.17/3,474.95
  6. Step 6: Final answer
    x = 3,249.38

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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.