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Finding the Fourth Proportional to 3,731.35, 5,598.54 and 1,883

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Solution

The fourth proportional to 3,731.35, 5,598.54 and 1,883 is: 2,825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.35 : 5,598.54 = 1,883 : x
  2. Step 2: Convert to fraction form
    3,731.35/5,598.54 = 1,883/x
  3. Step 3: Cross multiply
    3,731.35x = 5,598.54 × 1,883
  4. Step 4: Simplify right side
    3,731.35x = 10,542,050.82
  5. Step 5: Solve for x
    x = 10,542,050.82/3,731.35
  6. Step 6: Final answer
    x = 2,825.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.