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Finding the Fourth Proportional to 3,417.70, 5,114.40 and 2,372.80

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Solution

The fourth proportional to 3,417.70, 5,114.40 and 2,372.80 is: 3,550.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.70 : 5,114.40 = 2,372.80 : x
  2. Step 2: Convert to fraction form
    3,417.70/5,114.40 = 2,372.80/x
  3. Step 3: Cross multiply
    3,417.70x = 5,114.40 × 2,372.80
  4. Step 4: Simplify right side
    3,417.70x = 12,135,448.32
  5. Step 5: Solve for x
    x = 12,135,448.32/3,417.70
  6. Step 6: Final answer
    x = 3,550.76

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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.