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Finding the Fourth Proportional to 5,175.39, 7,762.34 and 1,664.94

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Solution

The fourth proportional to 5,175.39, 7,762.34 and 1,664.94 is: 2,497.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.39 : 7,762.34 = 1,664.94 : x
  2. Step 2: Convert to fraction form
    5,175.39/7,762.34 = 1,664.94/x
  3. Step 3: Cross multiply
    5,175.39x = 7,762.34 × 1,664.94
  4. Step 4: Simplify right side
    5,175.39x = 12,923,822.03
  5. Step 5: Solve for x
    x = 12,923,822.03/5,175.39
  6. Step 6: Final answer
    x = 2,497.17

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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.