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Finding the Fourth Proportional to 5,473.13, 8,209.71 and 1,369.13

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Solution

The fourth proportional to 5,473.13, 8,209.71 and 1,369.13 is: 2,053.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.13 : 8,209.71 = 1,369.13 : x
  2. Step 2: Convert to fraction form
    5,473.13/8,209.71 = 1,369.13/x
  3. Step 3: Cross multiply
    5,473.13x = 8,209.71 × 1,369.13
  4. Step 4: Simplify right side
    5,473.13x = 11,240,119.20
  5. Step 5: Solve for x
    x = 11,240,119.20/5,473.13
  6. Step 6: Final answer
    x = 2,053.69

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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.