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Finding the Fourth Proportional to 3,137.38, 4,706.68 and 1,406

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Solution

The fourth proportional to 3,137.38, 4,706.68 and 1,406 is: 2,109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.38 : 4,706.68 = 1,406 : x
  2. Step 2: Convert to fraction form
    3,137.38/4,706.68 = 1,406/x
  3. Step 3: Cross multiply
    3,137.38x = 4,706.68 × 1,406
  4. Step 4: Simplify right side
    3,137.38x = 6,617,592.08
  5. Step 5: Solve for x
    x = 6,617,592.08/3,137.38
  6. Step 6: Final answer
    x = 2,109.27

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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.