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Finding the Fourth Proportional to 3,138.60, 4,706.64 and 1,289.64

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Solution

The fourth proportional to 3,138.60, 4,706.64 and 1,289.64 is: 1,933.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.60 : 4,706.64 = 1,289.64 : x
  2. Step 2: Convert to fraction form
    3,138.60/4,706.64 = 1,289.64/x
  3. Step 3: Cross multiply
    3,138.60x = 4,706.64 × 1,289.64
  4. Step 4: Simplify right side
    3,138.60x = 6,069,871.21
  5. Step 5: Solve for x
    x = 6,069,871.21/3,138.60
  6. Step 6: Final answer
    x = 1,933.94

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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.