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Finding the Fourth Proportional to 5,662.11, 7,814.43 and 3,424.00

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Solution

The fourth proportional to 5,662.11, 7,814.43 and 3,424.00 is: 4,725.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.11 : 7,814.43 = 3,424.00 : x
  2. Step 2: Convert to fraction form
    5,662.11/7,814.43 = 3,424.00/x
  3. Step 3: Cross multiply
    5,662.11x = 7,814.43 × 3,424.00
  4. Step 4: Simplify right side
    5,662.11x = 26,756,552.13
  5. Step 5: Solve for x
    x = 26,756,552.13/5,662.11
  6. Step 6: Final answer
    x = 4,725.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.