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Finding the Fourth Proportional to 5,434.65, 8,147.98 and 1,734.74

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Solution

The fourth proportional to 5,434.65, 8,147.98 and 1,734.74 is: 2,600.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.65 : 8,147.98 = 1,734.74 : x
  2. Step 2: Convert to fraction form
    5,434.65/8,147.98 = 1,734.74/x
  3. Step 3: Cross multiply
    5,434.65x = 8,147.98 × 1,734.74
  4. Step 4: Simplify right side
    5,434.65x = 14,134,618.15
  5. Step 5: Solve for x
    x = 14,134,618.15/5,434.65
  6. Step 6: Final answer
    x = 2,600.84

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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.