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Finding the Fourth Proportional to 4,579.86, 6,323.16 and 3,742.56

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Solution

The fourth proportional to 4,579.86, 6,323.16 and 3,742.56 is: 5,167.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,579.86 : 6,323.16 = 3,742.56 : x
  2. Step 2: Convert to fraction form
    4,579.86/6,323.16 = 3,742.56/x
  3. Step 3: Cross multiply
    4,579.86x = 6,323.16 × 3,742.56
  4. Step 4: Simplify right side
    4,579.86x = 23,664,805.69
  5. Step 5: Solve for x
    x = 23,664,805.69/4,579.86
  6. Step 6: Final answer
    x = 5,167.15

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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.