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Finding the Fourth Proportional to 4,937.70, 6,814.11 and 2,947.87

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Solution

The fourth proportional to 4,937.70, 6,814.11 and 2,947.87 is: 4,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.70 : 6,814.11 = 2,947.87 : x
  2. Step 2: Convert to fraction form
    4,937.70/6,814.11 = 2,947.87/x
  3. Step 3: Cross multiply
    4,937.70x = 6,814.11 × 2,947.87
  4. Step 4: Simplify right side
    4,937.70x = 20,087,110.45
  5. Step 5: Solve for x
    x = 20,087,110.45/4,937.70
  6. Step 6: Final answer
    x = 4,068.11

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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.