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Finding the Fourth Proportional to 5,361.98, 8,043.18 and 1,666.70

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Solution

The fourth proportional to 5,361.98, 8,043.18 and 1,666.70 is: 2,500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.98 : 8,043.18 = 1,666.70 : x
  2. Step 2: Convert to fraction form
    5,361.98/8,043.18 = 1,666.70/x
  3. Step 3: Cross multiply
    5,361.98x = 8,043.18 × 1,666.70
  4. Step 4: Simplify right side
    5,361.98x = 13,405,568.11
  5. Step 5: Solve for x
    x = 13,405,568.11/5,361.98
  6. Step 6: Final answer
    x = 2,500.12

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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.