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Finding the Fourth Proportional to 3,538.54, 5,302.00 and 2,152.28

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Solution

The fourth proportional to 3,538.54, 5,302.00 and 2,152.28 is: 3,224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.54 : 5,302.00 = 2,152.28 : x
  2. Step 2: Convert to fraction form
    3,538.54/5,302.00 = 2,152.28/x
  3. Step 3: Cross multiply
    3,538.54x = 5,302.00 × 2,152.28
  4. Step 4: Simplify right side
    3,538.54x = 11,411,351.29
  5. Step 5: Solve for x
    x = 11,411,351.29/3,538.54
  6. Step 6: Final answer
    x = 3,224.88

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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.