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Finding the Fourth Proportional to 5,105.64, 7,046.18 and 2,981.84

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Solution

The fourth proportional to 5,105.64, 7,046.18 and 2,981.84 is: 4,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.64 : 7,046.18 = 2,981.84 : x
  2. Step 2: Convert to fraction form
    5,105.64/7,046.18 = 2,981.84/x
  3. Step 3: Cross multiply
    5,105.64x = 7,046.18 × 2,981.84
  4. Step 4: Simplify right side
    5,105.64x = 21,010,581.37
  5. Step 5: Solve for x
    x = 21,010,581.37/5,105.64
  6. Step 6: Final answer
    x = 4,115.17

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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.