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Finding the Fourth Proportional to 5,734.85, 8,592.30 and 3,104.16

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Solution

The fourth proportional to 5,734.85, 8,592.30 and 3,104.16 is: 4,650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.85 : 8,592.30 = 3,104.16 : x
  2. Step 2: Convert to fraction form
    5,734.85/8,592.30 = 3,104.16/x
  3. Step 3: Cross multiply
    5,734.85x = 8,592.30 × 3,104.16
  4. Step 4: Simplify right side
    5,734.85x = 26,671,841.75
  5. Step 5: Solve for x
    x = 26,671,841.75/5,734.85
  6. Step 6: Final answer
    x = 4,650.84

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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.