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Finding the Fourth Proportional to 5,591.78, 7,716.76 and 3,074.00

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Solution

The fourth proportional to 5,591.78, 7,716.76 and 3,074.00 is: 4,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591.78 : 7,716.76 = 3,074.00 : x
  2. Step 2: Convert to fraction form
    5,591.78/7,716.76 = 3,074.00/x
  3. Step 3: Cross multiply
    5,591.78x = 7,716.76 × 3,074.00
  4. Step 4: Simplify right side
    5,591.78x = 23,721,285.58
  5. Step 5: Solve for x
    x = 23,721,285.58/5,591.78
  6. Step 6: Final answer
    x = 4,242.17

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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.