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Finding the Fourth Proportional to 3,733.54, 5,152.00 and 2,140.17

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Solution

The fourth proportional to 3,733.54, 5,152.00 and 2,140.17 is: 2,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.54 : 5,152.00 = 2,140.17 : x
  2. Step 2: Convert to fraction form
    3,733.54/5,152.00 = 2,140.17/x
  3. Step 3: Cross multiply
    3,733.54x = 5,152.00 × 2,140.17
  4. Step 4: Simplify right side
    3,733.54x = 11,026,174.07
  5. Step 5: Solve for x
    x = 11,026,174.07/3,733.54
  6. Step 6: Final answer
    x = 2,953.27

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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.