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Finding the Fourth Proportional to 3,312.56, 4,945.13 and 3,197.13

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Solution

The fourth proportional to 3,312.56, 4,945.13 and 3,197.13 is: 4,772.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.56 : 4,945.13 = 3,197.13 : x
  2. Step 2: Convert to fraction form
    3,312.56/4,945.13 = 3,197.13/x
  3. Step 3: Cross multiply
    3,312.56x = 4,945.13 × 3,197.13
  4. Step 4: Simplify right side
    3,312.56x = 15,810,223.48
  5. Step 5: Solve for x
    x = 15,810,223.48/3,312.56
  6. Step 6: Final answer
    x = 4,772.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.