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Finding the Fourth Proportional to 3,137.98, 4,706.94 and 1,358.35

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Solution

The fourth proportional to 3,137.98, 4,706.94 and 1,358.35 is: 2,037.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.98 : 4,706.94 = 1,358.35 : x
  2. Step 2: Convert to fraction form
    3,137.98/4,706.94 = 1,358.35/x
  3. Step 3: Cross multiply
    3,137.98x = 4,706.94 × 1,358.35
  4. Step 4: Simplify right side
    3,137.98x = 6,393,671.95
  5. Step 5: Solve for x
    x = 6,393,671.95/3,137.98
  6. Step 6: Final answer
    x = 2,037.51

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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.