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Finding the Fourth Proportional to 3,637.70, 5,453.46 and 1,297.00

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Solution

The fourth proportional to 3,637.70, 5,453.46 and 1,297.00 is: 1,944.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.70 : 5,453.46 = 1,297.00 : x
  2. Step 2: Convert to fraction form
    3,637.70/5,453.46 = 1,297.00/x
  3. Step 3: Cross multiply
    3,637.70x = 5,453.46 × 1,297.00
  4. Step 4: Simplify right side
    3,637.70x = 7,073,123.99
  5. Step 5: Solve for x
    x = 7,073,123.99/3,637.70
  6. Step 6: Final answer
    x = 1,944.40

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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.