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Finding the Fourth Proportional to 6,002.88, 9,004.80 and 2,108.16

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Solution

The fourth proportional to 6,002.88, 9,004.80 and 2,108.16 is: 3,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.88 : 9,004.80 = 2,108.16 : x
  2. Step 2: Convert to fraction form
    6,002.88/9,004.80 = 2,108.16/x
  3. Step 3: Cross multiply
    6,002.88x = 9,004.80 × 2,108.16
  4. Step 4: Simplify right side
    6,002.88x = 18,983,559.17
  5. Step 5: Solve for x
    x = 18,983,559.17/6,002.88
  6. Step 6: Final answer
    x = 3,162.41

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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.