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Finding the Fourth Proportional to 4,838.95, 6,677.75 and 2,743.07

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Solution

The fourth proportional to 4,838.95, 6,677.75 and 2,743.07 is: 3,785.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.95 : 6,677.75 = 2,743.07 : x
  2. Step 2: Convert to fraction form
    4,838.95/6,677.75 = 2,743.07/x
  3. Step 3: Cross multiply
    4,838.95x = 6,677.75 × 2,743.07
  4. Step 4: Simplify right side
    4,838.95x = 18,317,521.98
  5. Step 5: Solve for x
    x = 18,317,521.98/4,838.95
  6. Step 6: Final answer
    x = 3,785.44

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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.