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Finding the Fourth Proportional to 3,574.23, 5,335.74 and 3,107.27

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Solution

The fourth proportional to 3,574.23, 5,335.74 and 3,107.27 is: 4,638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.23 : 5,335.74 = 3,107.27 : x
  2. Step 2: Convert to fraction form
    3,574.23/5,335.74 = 3,107.27/x
  3. Step 3: Cross multiply
    3,574.23x = 5,335.74 × 3,107.27
  4. Step 4: Simplify right side
    3,574.23x = 16,579,584.83
  5. Step 5: Solve for x
    x = 16,579,584.83/3,574.23
  6. Step 6: Final answer
    x = 4,638.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.