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Finding the Fourth Proportional to 3,473.76, 5,211.60 and 1,134.16

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Solution

The fourth proportional to 3,473.76, 5,211.60 and 1,134.16 is: 1,701.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.76 : 5,211.60 = 1,134.16 : x
  2. Step 2: Convert to fraction form
    3,473.76/5,211.60 = 1,134.16/x
  3. Step 3: Cross multiply
    3,473.76x = 5,211.60 × 1,134.16
  4. Step 4: Simplify right side
    3,473.76x = 5,910,788.26
  5. Step 5: Solve for x
    x = 5,910,788.26/3,473.76
  6. Step 6: Final answer
    x = 1,701.55

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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.