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Finding the Fourth Proportional to 3,734.96, 5,597.15 and 2,951.51

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Solution

The fourth proportional to 3,734.96, 5,597.15 and 2,951.51 is: 4,423.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.96 : 5,597.15 = 2,951.51 : x
  2. Step 2: Convert to fraction form
    3,734.96/5,597.15 = 2,951.51/x
  3. Step 3: Cross multiply
    3,734.96x = 5,597.15 × 2,951.51
  4. Step 4: Simplify right side
    3,734.96x = 16,520,001.45
  5. Step 5: Solve for x
    x = 16,520,001.45/3,734.96
  6. Step 6: Final answer
    x = 4,423.08

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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.