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Finding the Fourth Proportional to 4,164.72, 5,746.62 and 2,462.99

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Solution

The fourth proportional to 4,164.72, 5,746.62 and 2,462.99 is: 3,398.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.72 : 5,746.62 = 2,462.99 : x
  2. Step 2: Convert to fraction form
    4,164.72/5,746.62 = 2,462.99/x
  3. Step 3: Cross multiply
    4,164.72x = 5,746.62 × 2,462.99
  4. Step 4: Simplify right side
    4,164.72x = 14,153,838.86
  5. Step 5: Solve for x
    x = 14,153,838.86/4,164.72
  6. Step 6: Final answer
    x = 3,398.51

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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.