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Finding the Fourth Proportional to 3,594, 4,959.96 and 2,102.88

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Solution

The fourth proportional to 3,594, 4,959.96 and 2,102.88 is: 2,902.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594 : 4,959.96 = 2,102.88 : x
  2. Step 2: Convert to fraction form
    3,594/4,959.96 = 2,102.88/x
  3. Step 3: Cross multiply
    3,594x = 4,959.96 × 2,102.88
  4. Step 4: Simplify right side
    3,594x = 10,430,200.68
  5. Step 5: Solve for x
    x = 10,430,200.68/3,594
  6. Step 6: Final answer
    x = 2,902.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.