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Finding the Fourth Proportional to 3,137.64, 4,708.08 and 1,405.92

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Solution

The fourth proportional to 3,137.64, 4,708.08 and 1,405.92 is: 2,109.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.64 : 4,708.08 = 1,405.92 : x
  2. Step 2: Convert to fraction form
    3,137.64/4,708.08 = 1,405.92/x
  3. Step 3: Cross multiply
    3,137.64x = 4,708.08 × 1,405.92
  4. Step 4: Simplify right side
    3,137.64x = 6,619,183.83
  5. Step 5: Solve for x
    x = 6,619,183.83/3,137.64
  6. Step 6: Final answer
    x = 2,109.61

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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.