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Finding the Fourth Proportional to 4,529.68, 6,794.42 and 2,065.16

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Solution

The fourth proportional to 4,529.68, 6,794.42 and 2,065.16 is: 3,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,529.68 : 6,794.42 = 2,065.16 : x
  2. Step 2: Convert to fraction form
    4,529.68/6,794.42 = 2,065.16/x
  3. Step 3: Cross multiply
    4,529.68x = 6,794.42 × 2,065.16
  4. Step 4: Simplify right side
    4,529.68x = 14,031,571.07
  5. Step 5: Solve for x
    x = 14,031,571.07/4,529.68
  6. Step 6: Final answer
    x = 3,097.70

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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.