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Finding the Fourth Proportional to 5,083.17, 7,662.86 and 4,744.50

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Solution

The fourth proportional to 5,083.17, 7,662.86 and 4,744.50 is: 7,152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083.17 : 7,662.86 = 4,744.50 : x
  2. Step 2: Convert to fraction form
    5,083.17/7,662.86 = 4,744.50/x
  3. Step 3: Cross multiply
    5,083.17x = 7,662.86 × 4,744.50
  4. Step 4: Simplify right side
    5,083.17x = 36,356,415.55
  5. Step 5: Solve for x
    x = 36,356,415.55/5,083.17
  6. Step 6: Final answer
    x = 7,152.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.