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Finding the Fourth Proportional to 4,993.83, 6,892.31 and 3,802.75

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Solution

The fourth proportional to 4,993.83, 6,892.31 and 3,802.75 is: 5,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.83 : 6,892.31 = 3,802.75 : x
  2. Step 2: Convert to fraction form
    4,993.83/6,892.31 = 3,802.75/x
  3. Step 3: Cross multiply
    4,993.83x = 6,892.31 × 3,802.75
  4. Step 4: Simplify right side
    4,993.83x = 26,209,695.61
  5. Step 5: Solve for x
    x = 26,209,695.61/4,993.83
  6. Step 6: Final answer
    x = 5,248.42

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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.