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Finding the Fourth Proportional to 4,535.69, 6,804.84 and 1,614.21

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Solution

The fourth proportional to 4,535.69, 6,804.84 and 1,614.21 is: 2,421.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.69 : 6,804.84 = 1,614.21 : x
  2. Step 2: Convert to fraction form
    4,535.69/6,804.84 = 1,614.21/x
  3. Step 3: Cross multiply
    4,535.69x = 6,804.84 × 1,614.21
  4. Step 4: Simplify right side
    4,535.69x = 10,984,440.78
  5. Step 5: Solve for x
    x = 10,984,440.78/4,535.69
  6. Step 6: Final answer
    x = 2,421.78

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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.