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Finding the Fourth Proportional to 4,164.72, 5,752.26 and 3,043.86

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Solution

The fourth proportional to 4,164.72, 5,752.26 and 3,043.86 is: 4,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.72 : 5,752.26 = 3,043.86 : x
  2. Step 2: Convert to fraction form
    4,164.72/5,752.26 = 3,043.86/x
  3. Step 3: Cross multiply
    4,164.72x = 5,752.26 × 3,043.86
  4. Step 4: Simplify right side
    4,164.72x = 17,509,074.12
  5. Step 5: Solve for x
    x = 17,509,074.12/4,164.72
  6. Step 6: Final answer
    x = 4,204.14

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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.