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Finding the Fourth Proportional to 5,834.98, 8,754.03 and 2,548.34

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Solution

The fourth proportional to 5,834.98, 8,754.03 and 2,548.34 is: 3,823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.98 : 8,754.03 = 2,548.34 : x
  2. Step 2: Convert to fraction form
    5,834.98/8,754.03 = 2,548.34/x
  3. Step 3: Cross multiply
    5,834.98x = 8,754.03 × 2,548.34
  4. Step 4: Simplify right side
    5,834.98x = 22,308,244.81
  5. Step 5: Solve for x
    x = 22,308,244.81/5,834.98
  6. Step 6: Final answer
    x = 3,823.19

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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.