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Finding the Fourth Proportional to 5,192.42, 7,775.91 and 4,693.19

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Solution

The fourth proportional to 5,192.42, 7,775.91 and 4,693.19 is: 7,028.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.42 : 7,775.91 = 4,693.19 : x
  2. Step 2: Convert to fraction form
    5,192.42/7,775.91 = 4,693.19/x
  3. Step 3: Cross multiply
    5,192.42x = 7,775.91 × 4,693.19
  4. Step 4: Simplify right side
    5,192.42x = 36,493,823.05
  5. Step 5: Solve for x
    x = 36,493,823.05/5,192.42
  6. Step 6: Final answer
    x = 7,028.29

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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.