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Finding the Fourth Proportional to 3,447.84, 5,171.12 and 1,257.60

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Solution

The fourth proportional to 3,447.84, 5,171.12 and 1,257.60 is: 1,886.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.84 : 5,171.12 = 1,257.60 : x
  2. Step 2: Convert to fraction form
    3,447.84/5,171.12 = 1,257.60/x
  3. Step 3: Cross multiply
    3,447.84x = 5,171.12 × 1,257.60
  4. Step 4: Simplify right side
    3,447.84x = 6,503,200.51
  5. Step 5: Solve for x
    x = 6,503,200.51/3,447.84
  6. Step 6: Final answer
    x = 1,886.17

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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.