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Finding the Fourth Proportional to 4,838.70, 6,678.78 and 2,850.40

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Solution

The fourth proportional to 4,838.70, 6,678.78 and 2,850.40 is: 3,934.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.70 : 6,678.78 = 2,850.40 : x
  2. Step 2: Convert to fraction form
    4,838.70/6,678.78 = 2,850.40/x
  3. Step 3: Cross multiply
    4,838.70x = 6,678.78 × 2,850.40
  4. Step 4: Simplify right side
    4,838.70x = 19,037,194.51
  5. Step 5: Solve for x
    x = 19,037,194.51/4,838.70
  6. Step 6: Final answer
    x = 3,934.36

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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.