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Finding the Fourth Proportional to 3,333.68, 4,994.31 and 2,084.66

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Solution

The fourth proportional to 3,333.68, 4,994.31 and 2,084.66 is: 3,123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.68 : 4,994.31 = 2,084.66 : x
  2. Step 2: Convert to fraction form
    3,333.68/4,994.31 = 2,084.66/x
  3. Step 3: Cross multiply
    3,333.68x = 4,994.31 × 2,084.66
  4. Step 4: Simplify right side
    3,333.68x = 10,411,438.28
  5. Step 5: Solve for x
    x = 10,411,438.28/3,333.68
  6. Step 6: Final answer
    x = 3,123.11

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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.