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Finding the Fourth Proportional to 4,994.75, 7,454.14 and 4,441.18

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Solution

The fourth proportional to 4,994.75, 7,454.14 and 4,441.18 is: 6,627.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994.75 : 7,454.14 = 4,441.18 : x
  2. Step 2: Convert to fraction form
    4,994.75/7,454.14 = 4,441.18/x
  3. Step 3: Cross multiply
    4,994.75x = 7,454.14 × 4,441.18
  4. Step 4: Simplify right side
    4,994.75x = 33,105,177.49
  5. Step 5: Solve for x
    x = 33,105,177.49/4,994.75
  6. Step 6: Final answer
    x = 6,627.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.