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Finding the Fourth Proportional to 3,731.87, 5,598.42 and 1,266.44

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Solution

The fourth proportional to 3,731.87, 5,598.42 and 1,266.44 is: 1,899.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.87 : 5,598.42 = 1,266.44 : x
  2. Step 2: Convert to fraction form
    3,731.87/5,598.42 = 1,266.44/x
  3. Step 3: Cross multiply
    3,731.87x = 5,598.42 × 1,266.44
  4. Step 4: Simplify right side
    3,731.87x = 7,090,030.28
  5. Step 5: Solve for x
    x = 7,090,030.28/3,731.87
  6. Step 6: Final answer
    x = 1,899.86

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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.