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Finding the Fourth Proportional to 3,683.07, 5,525.01 and 1,086.01

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Solution

The fourth proportional to 3,683.07, 5,525.01 and 1,086.01 is: 1,629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.07 : 5,525.01 = 1,086.01 : x
  2. Step 2: Convert to fraction form
    3,683.07/5,525.01 = 1,086.01/x
  3. Step 3: Cross multiply
    3,683.07x = 5,525.01 × 1,086.01
  4. Step 4: Simplify right side
    3,683.07x = 6,000,202.30
  5. Step 5: Solve for x
    x = 6,000,202.30/3,683.07
  6. Step 6: Final answer
    x = 1,629.13

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Why These Related Problems?

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