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Finding the Fourth Proportional to 5,137.84, 7,711.08 and 4,118.32

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Solution

The fourth proportional to 5,137.84, 7,711.08 and 4,118.32 is: 6,180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.84 : 7,711.08 = 4,118.32 : x
  2. Step 2: Convert to fraction form
    5,137.84/7,711.08 = 4,118.32/x
  3. Step 3: Cross multiply
    5,137.84x = 7,711.08 × 4,118.32
  4. Step 4: Simplify right side
    5,137.84x = 31,756,694.99
  5. Step 5: Solve for x
    x = 31,756,694.99/5,137.84
  6. Step 6: Final answer
    x = 6,180.94

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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.