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Finding the Fourth Proportional to 5,832.54, 8,743.14 and 2,545.02

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Solution

The fourth proportional to 5,832.54, 8,743.14 and 2,545.02 is: 3,815.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.54 : 8,743.14 = 2,545.02 : x
  2. Step 2: Convert to fraction form
    5,832.54/8,743.14 = 2,545.02/x
  3. Step 3: Cross multiply
    5,832.54x = 8,743.14 × 2,545.02
  4. Step 4: Simplify right side
    5,832.54x = 22,251,466.16
  5. Step 5: Solve for x
    x = 22,251,466.16/5,832.54
  6. Step 6: Final answer
    x = 3,815.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.