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Finding the Fourth Proportional to 3,497.53, 5,248.73 and 2,261.88

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Solution

The fourth proportional to 3,497.53, 5,248.73 and 2,261.88 is: 3,394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.53 : 5,248.73 = 2,261.88 : x
  2. Step 2: Convert to fraction form
    3,497.53/5,248.73 = 2,261.88/x
  3. Step 3: Cross multiply
    3,497.53x = 5,248.73 × 2,261.88
  4. Step 4: Simplify right side
    3,497.53x = 11,871,997.41
  5. Step 5: Solve for x
    x = 11,871,997.41/3,497.53
  6. Step 6: Final answer
    x = 3,394.39

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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.