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Finding the Fourth Proportional to 3,429.65, 5,147.08 and 2,259.26

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Solution

The fourth proportional to 3,429.65, 5,147.08 and 2,259.26 is: 3,390.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.65 : 5,147.08 = 2,259.26 : x
  2. Step 2: Convert to fraction form
    3,429.65/5,147.08 = 2,259.26/x
  3. Step 3: Cross multiply
    3,429.65x = 5,147.08 × 2,259.26
  4. Step 4: Simplify right side
    3,429.65x = 11,628,554.93
  5. Step 5: Solve for x
    x = 11,628,554.93/3,429.65
  6. Step 6: Final answer
    x = 3,390.60

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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.