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Finding the Fourth Proportional to 4,911.77, 7,375.12 and 3,074.49

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Solution

The fourth proportional to 4,911.77, 7,375.12 and 3,074.49 is: 4,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.77 : 7,375.12 = 3,074.49 : x
  2. Step 2: Convert to fraction form
    4,911.77/7,375.12 = 3,074.49/x
  3. Step 3: Cross multiply
    4,911.77x = 7,375.12 × 3,074.49
  4. Step 4: Simplify right side
    4,911.77x = 22,674,725.00
  5. Step 5: Solve for x
    x = 22,674,725.00/4,911.77
  6. Step 6: Final answer
    x = 4,616.40

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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.