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Finding the Fourth Proportional to 4,453.84, 6,142.29 and 2,858.65

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Solution

The fourth proportional to 4,453.84, 6,142.29 and 2,858.65 is: 3,942.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,453.84 : 6,142.29 = 2,858.65 : x
  2. Step 2: Convert to fraction form
    4,453.84/6,142.29 = 2,858.65/x
  3. Step 3: Cross multiply
    4,453.84x = 6,142.29 × 2,858.65
  4. Step 4: Simplify right side
    4,453.84x = 17,558,657.31
  5. Step 5: Solve for x
    x = 17,558,657.31/4,453.84
  6. Step 6: Final answer
    x = 3,942.36

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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.