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Finding the Fourth Proportional to 5,683.95, 7,842.96 and 3,165.27

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Solution

The fourth proportional to 5,683.95, 7,842.96 and 3,165.27 is: 4,367.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.95 : 7,842.96 = 3,165.27 : x
  2. Step 2: Convert to fraction form
    5,683.95/7,842.96 = 3,165.27/x
  3. Step 3: Cross multiply
    5,683.95x = 7,842.96 × 3,165.27
  4. Step 4: Simplify right side
    5,683.95x = 24,825,086.00
  5. Step 5: Solve for x
    x = 24,825,086.00/5,683.95
  6. Step 6: Final answer
    x = 4,367.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.