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Finding the Fourth Proportional to 3,247.12, 4,870.80 and 938.80

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Solution

The fourth proportional to 3,247.12, 4,870.80 and 938.80 is: 1,408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.12 : 4,870.80 = 938.80 : x
  2. Step 2: Convert to fraction form
    3,247.12/4,870.80 = 938.80/x
  3. Step 3: Cross multiply
    3,247.12x = 4,870.80 × 938.80
  4. Step 4: Simplify right side
    3,247.12x = 4,572,707.04
  5. Step 5: Solve for x
    x = 4,572,707.04/3,247.12
  6. Step 6: Final answer
    x = 1,408.23

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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.