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Finding the Fourth Proportional to 5,492.79, 8,234.57 and 1,793.00

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Solution

The fourth proportional to 5,492.79, 8,234.57 and 1,793.00 is: 2,687.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.79 : 8,234.57 = 1,793.00 : x
  2. Step 2: Convert to fraction form
    5,492.79/8,234.57 = 1,793.00/x
  3. Step 3: Cross multiply
    5,492.79x = 8,234.57 × 1,793.00
  4. Step 4: Simplify right side
    5,492.79x = 14,764,565.51
  5. Step 5: Solve for x
    x = 14,764,565.51/5,492.79
  6. Step 6: Final answer
    x = 2,687.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.