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Finding the Fourth Proportional to 5,895.14, 8,842.70 and 1,512.60

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Solution

The fourth proportional to 5,895.14, 8,842.70 and 1,512.60 is: 2,268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.14 : 8,842.70 = 1,512.60 : x
  2. Step 2: Convert to fraction form
    5,895.14/8,842.70 = 1,512.60/x
  3. Step 3: Cross multiply
    5,895.14x = 8,842.70 × 1,512.60
  4. Step 4: Simplify right side
    5,895.14x = 13,375,468.02
  5. Step 5: Solve for x
    x = 13,375,468.02/5,895.14
  6. Step 6: Final answer
    x = 2,268.90

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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.