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Finding the Fourth Proportional to 3,477.64, 5,216.46 and 1,137.89

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Solution

The fourth proportional to 3,477.64, 5,216.46 and 1,137.89 is: 1,706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.64 : 5,216.46 = 1,137.89 : x
  2. Step 2: Convert to fraction form
    3,477.64/5,216.46 = 1,137.89/x
  3. Step 3: Cross multiply
    3,477.64x = 5,216.46 × 1,137.89
  4. Step 4: Simplify right side
    3,477.64x = 5,935,725.90
  5. Step 5: Solve for x
    x = 5,935,725.90/3,477.64
  6. Step 6: Final answer
    x = 1,706.83

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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.