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Finding the Fourth Proportional to 4,180.64, 5,763.12 and 3,294.68

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Solution

The fourth proportional to 4,180.64, 5,763.12 and 3,294.68 is: 4,541.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.64 : 5,763.12 = 3,294.68 : x
  2. Step 2: Convert to fraction form
    4,180.64/5,763.12 = 3,294.68/x
  3. Step 3: Cross multiply
    4,180.64x = 5,763.12 × 3,294.68
  4. Step 4: Simplify right side
    4,180.64x = 18,987,636.20
  5. Step 5: Solve for x
    x = 18,987,636.20/4,180.64
  6. Step 6: Final answer
    x = 4,541.80

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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.