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Finding the Fourth Proportional to 3,744, 5,166.72 and 2,088

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Solution

The fourth proportional to 3,744, 5,166.72 and 2,088 is: 2,881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744 : 5,166.72 = 2,088 : x
  2. Step 2: Convert to fraction form
    3,744/5,166.72 = 2,088/x
  3. Step 3: Cross multiply
    3,744x = 5,166.72 × 2,088
  4. Step 4: Simplify right side
    3,744x = 10,788,111.36
  5. Step 5: Solve for x
    x = 10,788,111.36/3,744
  6. Step 6: Final answer
    x = 2,881.44

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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.