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Finding the Fourth Proportional to 4,338.39, 6,503.67 and 1,563.11

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Solution

The fourth proportional to 4,338.39, 6,503.67 and 1,563.11 is: 2,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.39 : 6,503.67 = 1,563.11 : x
  2. Step 2: Convert to fraction form
    4,338.39/6,503.67 = 1,563.11/x
  3. Step 3: Cross multiply
    4,338.39x = 6,503.67 × 1,563.11
  4. Step 4: Simplify right side
    4,338.39x = 10,165,919.10
  5. Step 5: Solve for x
    x = 10,165,919.10/4,338.39
  6. Step 6: Final answer
    x = 2,343.25

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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.