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Finding the Fourth Proportional to 5,537.43, 8,334.02 and 4,158

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Solution

The fourth proportional to 5,537.43, 8,334.02 and 4,158 is: 6,257.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.43 : 8,334.02 = 4,158 : x
  2. Step 2: Convert to fraction form
    5,537.43/8,334.02 = 4,158/x
  3. Step 3: Cross multiply
    5,537.43x = 8,334.02 × 4,158
  4. Step 4: Simplify right side
    5,537.43x = 34,652,865.56
  5. Step 5: Solve for x
    x = 34,652,865.56/5,537.43
  6. Step 6: Final answer
    x = 6,257.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.