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Finding the Fourth Proportional to 4,724.16, 7,083.54 and 3,166.02

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Solution

The fourth proportional to 4,724.16, 7,083.54 and 3,166.02 is: 4,747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.16 : 7,083.54 = 3,166.02 : x
  2. Step 2: Convert to fraction form
    4,724.16/7,083.54 = 3,166.02/x
  3. Step 3: Cross multiply
    4,724.16x = 7,083.54 × 3,166.02
  4. Step 4: Simplify right side
    4,724.16x = 22,426,629.31
  5. Step 5: Solve for x
    x = 22,426,629.31/4,724.16
  6. Step 6: Final answer
    x = 4,747.22

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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.