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Finding the Fourth Proportional to 3,734.64, 5,598.90 and 1,759.31

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Solution

The fourth proportional to 3,734.64, 5,598.90 and 1,759.31 is: 2,637.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.64 : 5,598.90 = 1,759.31 : x
  2. Step 2: Convert to fraction form
    3,734.64/5,598.90 = 1,759.31/x
  3. Step 3: Cross multiply
    3,734.64x = 5,598.90 × 1,759.31
  4. Step 4: Simplify right side
    3,734.64x = 9,850,172.76
  5. Step 5: Solve for x
    x = 9,850,172.76/3,734.64
  6. Step 6: Final answer
    x = 2,637.52

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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.