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Finding the Fourth Proportional to 4,563.90, 6,849.09 and 3,396.69

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Solution

The fourth proportional to 4,563.90, 6,849.09 and 3,396.69 is: 5,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.90 : 6,849.09 = 3,396.69 : x
  2. Step 2: Convert to fraction form
    4,563.90/6,849.09 = 3,396.69/x
  3. Step 3: Cross multiply
    4,563.90x = 6,849.09 × 3,396.69
  4. Step 4: Simplify right side
    4,563.90x = 23,264,235.51
  5. Step 5: Solve for x
    x = 23,264,235.51/4,563.90
  6. Step 6: Final answer
    x = 5,097.45

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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.