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Finding the Fourth Proportional to 3,462.86, 5,194.30 and 1,270.64

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Solution

The fourth proportional to 3,462.86, 5,194.30 and 1,270.64 is: 1,905.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.86 : 5,194.30 = 1,270.64 : x
  2. Step 2: Convert to fraction form
    3,462.86/5,194.30 = 1,270.64/x
  3. Step 3: Cross multiply
    3,462.86x = 5,194.30 × 1,270.64
  4. Step 4: Simplify right side
    3,462.86x = 6,600,085.35
  5. Step 5: Solve for x
    x = 6,600,085.35/3,462.86
  6. Step 6: Final answer
    x = 1,905.96

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