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Finding the Fourth Proportional to 5,823, 8,692.22 and 5,389.34

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Solution

The fourth proportional to 5,823, 8,692.22 and 5,389.34 is: 8,044.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823 : 8,692.22 = 5,389.34 : x
  2. Step 2: Convert to fraction form
    5,823/8,692.22 = 5,389.34/x
  3. Step 3: Cross multiply
    5,823x = 8,692.22 × 5,389.34
  4. Step 4: Simplify right side
    5,823x = 46,845,328.93
  5. Step 5: Solve for x
    x = 46,845,328.93/5,823
  6. Step 6: Final answer
    x = 8,044.88

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Why These Related Problems?

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