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Finding the Fourth Proportional to 2,858.58, 4,284.18 and 2,827.62

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Solution

The fourth proportional to 2,858.58, 4,284.18 and 2,827.62 is: 4,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.58 : 4,284.18 = 2,827.62 : x
  2. Step 2: Convert to fraction form
    2,858.58/4,284.18 = 2,827.62/x
  3. Step 3: Cross multiply
    2,858.58x = 4,284.18 × 2,827.62
  4. Step 4: Simplify right side
    2,858.58x = 12,114,033.05
  5. Step 5: Solve for x
    x = 12,114,033.05/2,858.58
  6. Step 6: Final answer
    x = 4,237.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.