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Finding the Fourth Proportional to 3,131.80, 4,697.70 and 3,083.20

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Solution

The fourth proportional to 3,131.80, 4,697.70 and 3,083.20 is: 4,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.80 : 4,697.70 = 3,083.20 : x
  2. Step 2: Convert to fraction form
    3,131.80/4,697.70 = 3,083.20/x
  3. Step 3: Cross multiply
    3,131.80x = 4,697.70 × 3,083.20
  4. Step 4: Simplify right side
    3,131.80x = 14,483,948.64
  5. Step 5: Solve for x
    x = 14,483,948.64/3,131.80
  6. Step 6: Final answer
    x = 4,624.80

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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.