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Finding the Fourth Proportional to 5,138.70, 7,091.63 and 2,900.60

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Solution

The fourth proportional to 5,138.70, 7,091.63 and 2,900.60 is: 4,002.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.70 : 7,091.63 = 2,900.60 : x
  2. Step 2: Convert to fraction form
    5,138.70/7,091.63 = 2,900.60/x
  3. Step 3: Cross multiply
    5,138.70x = 7,091.63 × 2,900.60
  4. Step 4: Simplify right side
    5,138.70x = 20,569,969.71
  5. Step 5: Solve for x
    x = 20,569,969.71/5,138.70
  6. Step 6: Final answer
    x = 4,002.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.