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Finding the Fourth Proportional to 5,935, 8,191.02 and 3,451

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Solution

The fourth proportional to 5,935, 8,191.02 and 3,451 is: 4,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935 : 8,191.02 = 3,451 : x
  2. Step 2: Convert to fraction form
    5,935/8,191.02 = 3,451/x
  3. Step 3: Cross multiply
    5,935x = 8,191.02 × 3,451
  4. Step 4: Simplify right side
    5,935x = 28,267,210.02
  5. Step 5: Solve for x
    x = 28,267,210.02/5,935
  6. Step 6: Final answer
    x = 4,762.80

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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.