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Finding the Fourth Proportional to 6,002.28, 8,997.54 and 2,878.68

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Solution

The fourth proportional to 6,002.28, 8,997.54 and 2,878.68 is: 4,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.28 : 8,997.54 = 2,878.68 : x
  2. Step 2: Convert to fraction form
    6,002.28/8,997.54 = 2,878.68/x
  3. Step 3: Cross multiply
    6,002.28x = 8,997.54 × 2,878.68
  4. Step 4: Simplify right side
    6,002.28x = 25,901,038.45
  5. Step 5: Solve for x
    x = 25,901,038.45/6,002.28
  6. Step 6: Final answer
    x = 4,315.20

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