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Finding the Fourth Proportional to 5,889.57, 8,834.34 and 2,424.93

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Solution

The fourth proportional to 5,889.57, 8,834.34 and 2,424.93 is: 3,637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.57 : 8,834.34 = 2,424.93 : x
  2. Step 2: Convert to fraction form
    5,889.57/8,834.34 = 2,424.93/x
  3. Step 3: Cross multiply
    5,889.57x = 8,834.34 × 2,424.93
  4. Step 4: Simplify right side
    5,889.57x = 21,422,656.10
  5. Step 5: Solve for x
    x = 21,422,656.10/5,889.57
  6. Step 6: Final answer
    x = 3,637.39

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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.