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Finding the Fourth Proportional to 5,044.71, 7,554.71 and 4,161.81

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Solution

The fourth proportional to 5,044.71, 7,554.71 and 4,161.81 is: 6,232.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.71 : 7,554.71 = 4,161.81 : x
  2. Step 2: Convert to fraction form
    5,044.71/7,554.71 = 4,161.81/x
  3. Step 3: Cross multiply
    5,044.71x = 7,554.71 × 4,161.81
  4. Step 4: Simplify right side
    5,044.71x = 31,441,278.03
  5. Step 5: Solve for x
    x = 31,441,278.03/5,044.71
  6. Step 6: Final answer
    x = 6,232.52

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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.