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Finding the Fourth Proportional to 3,358.93, 5,038.41 and 1,137.78

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Solution

The fourth proportional to 3,358.93, 5,038.41 and 1,137.78 is: 1,706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.93 : 5,038.41 = 1,137.78 : x
  2. Step 2: Convert to fraction form
    3,358.93/5,038.41 = 1,137.78/x
  3. Step 3: Cross multiply
    3,358.93x = 5,038.41 × 1,137.78
  4. Step 4: Simplify right side
    3,358.93x = 5,732,602.13
  5. Step 5: Solve for x
    x = 5,732,602.13/3,358.93
  6. Step 6: Final answer
    x = 1,706.68

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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.