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Finding the Fourth Proportional to 3,425.34, 5,145.02 and 2,257.01

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Solution

The fourth proportional to 3,425.34, 5,145.02 and 2,257.01 is: 3,390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.34 : 5,145.02 = 2,257.01 : x
  2. Step 2: Convert to fraction form
    3,425.34/5,145.02 = 2,257.01/x
  3. Step 3: Cross multiply
    3,425.34x = 5,145.02 × 2,257.01
  4. Step 4: Simplify right side
    3,425.34x = 11,612,381.28
  5. Step 5: Solve for x
    x = 11,612,381.28/3,425.34
  6. Step 6: Final answer
    x = 3,390.14

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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.