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Finding the Fourth Proportional to 3,830.01, 5,287.86 and 2,989.23

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Solution

The fourth proportional to 3,830.01, 5,287.86 and 2,989.23 is: 4,127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.01 : 5,287.86 = 2,989.23 : x
  2. Step 2: Convert to fraction form
    3,830.01/5,287.86 = 2,989.23/x
  3. Step 3: Cross multiply
    3,830.01x = 5,287.86 × 2,989.23
  4. Step 4: Simplify right side
    3,830.01x = 15,806,629.75
  5. Step 5: Solve for x
    x = 15,806,629.75/3,830.01
  6. Step 6: Final answer
    x = 4,127.05

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