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Finding the Fourth Proportional to 5,683.77, 7,844.04 and 3,696.03

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Solution

The fourth proportional to 5,683.77, 7,844.04 and 3,696.03 is: 5,100.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.77 : 7,844.04 = 3,696.03 : x
  2. Step 2: Convert to fraction form
    5,683.77/7,844.04 = 3,696.03/x
  3. Step 3: Cross multiply
    5,683.77x = 7,844.04 × 3,696.03
  4. Step 4: Simplify right side
    5,683.77x = 28,991,807.16
  5. Step 5: Solve for x
    x = 28,991,807.16/5,683.77
  6. Step 6: Final answer
    x = 5,100.81

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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.