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Finding the Fourth Proportional to 3,358.97, 5,038.56 and 1,137.77

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Solution

The fourth proportional to 3,358.97, 5,038.56 and 1,137.77 is: 1,706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.97 : 5,038.56 = 1,137.77 : x
  2. Step 2: Convert to fraction form
    3,358.97/5,038.56 = 1,137.77/x
  3. Step 3: Cross multiply
    3,358.97x = 5,038.56 × 1,137.77
  4. Step 4: Simplify right side
    3,358.97x = 5,732,735.01
  5. Step 5: Solve for x
    x = 5,732,735.01/3,358.97
  6. Step 6: Final answer
    x = 1,706.69

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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.