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Finding the Fourth Proportional to 5,683.77, 7,843.77 and 3,166.02

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Solution

The fourth proportional to 5,683.77, 7,843.77 and 3,166.02 is: 4,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.77 : 7,843.77 = 3,166.02 : x
  2. Step 2: Convert to fraction form
    5,683.77/7,843.77 = 3,166.02/x
  3. Step 3: Cross multiply
    5,683.77x = 7,843.77 × 3,166.02
  4. Step 4: Simplify right side
    5,683.77x = 24,833,532.70
  5. Step 5: Solve for x
    x = 24,833,532.70/5,683.77
  6. Step 6: Final answer
    x = 4,369.20

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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.