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Finding the Fourth Proportional to 3,637.46, 5,455.90 and 1,297.36

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Solution

The fourth proportional to 3,637.46, 5,455.90 and 1,297.36 is: 1,945.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.46 : 5,455.90 = 1,297.36 : x
  2. Step 2: Convert to fraction form
    3,637.46/5,455.90 = 1,297.36/x
  3. Step 3: Cross multiply
    3,637.46x = 5,455.90 × 1,297.36
  4. Step 4: Simplify right side
    3,637.46x = 7,078,266.42
  5. Step 5: Solve for x
    x = 7,078,266.42/3,637.46
  6. Step 6: Final answer
    x = 1,945.94

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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.