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Finding the Fourth Proportional to 3,137.06, 4,704.98 and 2,980.95

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Solution

The fourth proportional to 3,137.06, 4,704.98 and 2,980.95 is: 4,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.06 : 4,704.98 = 2,980.95 : x
  2. Step 2: Convert to fraction form
    3,137.06/4,704.98 = 2,980.95/x
  3. Step 3: Cross multiply
    3,137.06x = 4,704.98 × 2,980.95
  4. Step 4: Simplify right side
    3,137.06x = 14,025,295.23
  5. Step 5: Solve for x
    x = 14,025,295.23/3,137.06
  6. Step 6: Final answer
    x = 4,470.85

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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.