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Finding the Fourth Proportional to 4,838.94, 6,675.74 and 3,159.74

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Solution

The fourth proportional to 4,838.94, 6,675.74 and 3,159.74 is: 4,359.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.94 : 6,675.74 = 3,159.74 : x
  2. Step 2: Convert to fraction form
    4,838.94/6,675.74 = 3,159.74/x
  3. Step 3: Cross multiply
    4,838.94x = 6,675.74 × 3,159.74
  4. Step 4: Simplify right side
    4,838.94x = 21,093,553.53
  5. Step 5: Solve for x
    x = 21,093,553.53/4,838.94
  6. Step 6: Final answer
    x = 4,359.13

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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.