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Finding the Fourth Proportional to 3,297.36, 4,947.48 and 1,758.48

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Solution

The fourth proportional to 3,297.36, 4,947.48 and 1,758.48 is: 2,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.36 : 4,947.48 = 1,758.48 : x
  2. Step 2: Convert to fraction form
    3,297.36/4,947.48 = 1,758.48/x
  3. Step 3: Cross multiply
    3,297.36x = 4,947.48 × 1,758.48
  4. Step 4: Simplify right side
    3,297.36x = 8,700,044.63
  5. Step 5: Solve for x
    x = 8,700,044.63/3,297.36
  6. Step 6: Final answer
    x = 2,638.49

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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.