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Finding the Fourth Proportional to 5,683.87, 7,843.57 and 3,165.98

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Solution

The fourth proportional to 5,683.87, 7,843.57 and 3,165.98 is: 4,368.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.87 : 7,843.57 = 3,165.98 : x
  2. Step 2: Convert to fraction form
    5,683.87/7,843.57 = 3,165.98/x
  3. Step 3: Cross multiply
    5,683.87x = 7,843.57 × 3,165.98
  4. Step 4: Simplify right side
    5,683.87x = 24,832,585.75
  5. Step 5: Solve for x
    x = 24,832,585.75/5,683.87
  6. Step 6: Final answer
    x = 4,368.96

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Double scale
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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.