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Finding the Fourth Proportional to 5,494, 7,581.76 and 3,010

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Solution

The fourth proportional to 5,494, 7,581.76 and 3,010 is: 4,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494 : 7,581.76 = 3,010 : x
  2. Step 2: Convert to fraction form
    5,494/7,581.76 = 3,010/x
  3. Step 3: Cross multiply
    5,494x = 7,581.76 × 3,010
  4. Step 4: Simplify right side
    5,494x = 22,821,097.60
  5. Step 5: Solve for x
    x = 22,821,097.60/5,494
  6. Step 6: Final answer
    x = 4,153.82

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Why These Related Problems?

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