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Finding the Fourth Proportional to 5,138.84, 7,091.70 and 2,900.57

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Solution

The fourth proportional to 5,138.84, 7,091.70 and 2,900.57 is: 4,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.84 : 7,091.70 = 2,900.57 : x
  2. Step 2: Convert to fraction form
    5,138.84/7,091.70 = 2,900.57/x
  3. Step 3: Cross multiply
    5,138.84x = 7,091.70 × 2,900.57
  4. Step 4: Simplify right side
    5,138.84x = 20,569,990.00
  5. Step 5: Solve for x
    x = 20,569,990.00/5,138.84
  6. Step 6: Final answer
    x = 4,002.85

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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.