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Finding the Fourth Proportional to 3,054.48, 4,571.58 and 2,781.20

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Solution

The fourth proportional to 3,054.48, 4,571.58 and 2,781.20 is: 4,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.48 : 4,571.58 = 2,781.20 : x
  2. Step 2: Convert to fraction form
    3,054.48/4,571.58 = 2,781.20/x
  3. Step 3: Cross multiply
    3,054.48x = 4,571.58 × 2,781.20
  4. Step 4: Simplify right side
    3,054.48x = 12,714,478.30
  5. Step 5: Solve for x
    x = 12,714,478.30/3,054.48
  6. Step 6: Final answer
    x = 4,162.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.