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Finding the Fourth Proportional to 4,164.72, 5,746.41 and 2,371.92

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Solution

The fourth proportional to 4,164.72, 5,746.41 and 2,371.92 is: 3,272.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.72 : 5,746.41 = 2,371.92 : x
  2. Step 2: Convert to fraction form
    4,164.72/5,746.41 = 2,371.92/x
  3. Step 3: Cross multiply
    4,164.72x = 5,746.41 × 2,371.92
  4. Step 4: Simplify right side
    4,164.72x = 13,630,024.81
  5. Step 5: Solve for x
    x = 13,630,024.81/4,164.72
  6. Step 6: Final answer
    x = 3,272.73

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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.