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Finding the Fourth Proportional to 3,452.49, 4,763.70 and 2,259.23

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Solution

The fourth proportional to 3,452.49, 4,763.70 and 2,259.23 is: 3,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.49 : 4,763.70 = 2,259.23 : x
  2. Step 2: Convert to fraction form
    3,452.49/4,763.70 = 2,259.23/x
  3. Step 3: Cross multiply
    3,452.49x = 4,763.70 × 2,259.23
  4. Step 4: Simplify right side
    3,452.49x = 10,762,270.13
  5. Step 5: Solve for x
    x = 10,762,270.13/3,452.49
  6. Step 6: Final answer
    x = 3,117.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.