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Finding the Fourth Proportional to 6,089.41, 9,135.03 and 1,928.02

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Solution

The fourth proportional to 6,089.41, 9,135.03 and 1,928.02 is: 2,892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.41 : 9,135.03 = 1,928.02 : x
  2. Step 2: Convert to fraction form
    6,089.41/9,135.03 = 1,928.02/x
  3. Step 3: Cross multiply
    6,089.41x = 9,135.03 × 1,928.02
  4. Step 4: Simplify right side
    6,089.41x = 17,612,520.54
  5. Step 5: Solve for x
    x = 17,612,520.54/6,089.41
  6. Step 6: Final answer
    x = 2,892.32

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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.