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Finding the Fourth Proportional to 5,192.29, 7,165.22 and 4,774.33

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Solution

The fourth proportional to 5,192.29, 7,165.22 and 4,774.33 is: 6,588.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.29 : 7,165.22 = 4,774.33 : x
  2. Step 2: Convert to fraction form
    5,192.29/7,165.22 = 4,774.33/x
  3. Step 3: Cross multiply
    5,192.29x = 7,165.22 × 4,774.33
  4. Step 4: Simplify right side
    5,192.29x = 34,209,124.80
  5. Step 5: Solve for x
    x = 34,209,124.80/5,192.29
  6. Step 6: Final answer
    x = 6,588.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.