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Finding the Fourth Proportional to 4,657.46, 6,985.92 and 1,734.44

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Solution

The fourth proportional to 4,657.46, 6,985.92 and 1,734.44 is: 2,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.46 : 6,985.92 = 1,734.44 : x
  2. Step 2: Convert to fraction form
    4,657.46/6,985.92 = 1,734.44/x
  3. Step 3: Cross multiply
    4,657.46x = 6,985.92 × 1,734.44
  4. Step 4: Simplify right side
    4,657.46x = 12,116,659.08
  5. Step 5: Solve for x
    x = 12,116,659.08/4,657.46
  6. Step 6: Final answer
    x = 2,601.56

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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.