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Finding the Fourth Proportional to 5,192.30, 7,774.33 and 4,395.41

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Solution

The fourth proportional to 5,192.30, 7,774.33 and 4,395.41 is: 6,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.30 : 7,774.33 = 4,395.41 : x
  2. Step 2: Convert to fraction form
    5,192.30/7,774.33 = 4,395.41/x
  3. Step 3: Cross multiply
    5,192.30x = 7,774.33 × 4,395.41
  4. Step 4: Simplify right side
    5,192.30x = 34,171,399.09
  5. Step 5: Solve for x
    x = 34,171,399.09/5,192.30
  6. Step 6: Final answer
    x = 6,581.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.