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Finding the Fourth Proportional to 5,161.97, 7,123.52 and 2,804.16

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Solution

The fourth proportional to 5,161.97, 7,123.52 and 2,804.16 is: 3,869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.97 : 7,123.52 = 2,804.16 : x
  2. Step 2: Convert to fraction form
    5,161.97/7,123.52 = 2,804.16/x
  3. Step 3: Cross multiply
    5,161.97x = 7,123.52 × 2,804.16
  4. Step 4: Simplify right side
    5,161.97x = 19,975,475.82
  5. Step 5: Solve for x
    x = 19,975,475.82/5,161.97
  6. Step 6: Final answer
    x = 3,869.74

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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.