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Finding the Fourth Proportional to 3,337.64, 5,007.17 and 1,257.60

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Solution

The fourth proportional to 3,337.64, 5,007.17 and 1,257.60 is: 1,886.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.64 : 5,007.17 = 1,257.60 : x
  2. Step 2: Convert to fraction form
    3,337.64/5,007.17 = 1,257.60/x
  3. Step 3: Cross multiply
    3,337.64x = 5,007.17 × 1,257.60
  4. Step 4: Simplify right side
    3,337.64x = 6,297,015.42
  5. Step 5: Solve for x
    x = 6,297,015.42/3,337.64
  6. Step 6: Final answer
    x = 1,886.67

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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.