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Finding the Fourth Proportional to 3,486.06, 4,798.22 and 3,153.78

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Solution

The fourth proportional to 3,486.06, 4,798.22 and 3,153.78 is: 4,340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.06 : 4,798.22 = 3,153.78 : x
  2. Step 2: Convert to fraction form
    3,486.06/4,798.22 = 3,153.78/x
  3. Step 3: Cross multiply
    3,486.06x = 4,798.22 × 3,153.78
  4. Step 4: Simplify right side
    3,486.06x = 15,132,530.27
  5. Step 5: Solve for x
    x = 15,132,530.27/3,486.06
  6. Step 6: Final answer
    x = 4,340.87

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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.