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Finding the Fourth Proportional to 4,496.09, 6,744.53 and 1,209.11

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Solution

The fourth proportional to 4,496.09, 6,744.53 and 1,209.11 is: 1,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.09 : 6,744.53 = 1,209.11 : x
  2. Step 2: Convert to fraction form
    4,496.09/6,744.53 = 1,209.11/x
  3. Step 3: Cross multiply
    4,496.09x = 6,744.53 × 1,209.11
  4. Step 4: Simplify right side
    4,496.09x = 8,154,844.95
  5. Step 5: Solve for x
    x = 8,154,844.95/4,496.09
  6. Step 6: Final answer
    x = 1,813.77

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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.