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Finding the Fourth Proportional to 4,716.77, 7,073.78 and 1,429.88

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Solution

The fourth proportional to 4,716.77, 7,073.78 and 1,429.88 is: 2,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.77 : 7,073.78 = 1,429.88 : x
  2. Step 2: Convert to fraction form
    4,716.77/7,073.78 = 1,429.88/x
  3. Step 3: Cross multiply
    4,716.77x = 7,073.78 × 1,429.88
  4. Step 4: Simplify right side
    4,716.77x = 10,114,614.03
  5. Step 5: Solve for x
    x = 10,114,614.03/4,716.77
  6. Step 6: Final answer
    x = 2,144.40

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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.