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Finding the Fourth Proportional to 3,110.52, 4,643.02 and 2,741.47

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Solution

The fourth proportional to 3,110.52, 4,643.02 and 2,741.47 is: 4,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.52 : 4,643.02 = 2,741.47 : x
  2. Step 2: Convert to fraction form
    3,110.52/4,643.02 = 2,741.47/x
  3. Step 3: Cross multiply
    3,110.52x = 4,643.02 × 2,741.47
  4. Step 4: Simplify right side
    3,110.52x = 12,728,700.04
  5. Step 5: Solve for x
    x = 12,728,700.04/3,110.52
  6. Step 6: Final answer
    x = 4,092.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.