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Finding the Fourth Proportional to 5,334.62, 8,002.96 and 2,047.46

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Solution

The fourth proportional to 5,334.62, 8,002.96 and 2,047.46 is: 3,071.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,334.62 : 8,002.96 = 2,047.46 : x
  2. Step 2: Convert to fraction form
    5,334.62/8,002.96 = 2,047.46/x
  3. Step 3: Cross multiply
    5,334.62x = 8,002.96 × 2,047.46
  4. Step 4: Simplify right side
    5,334.62x = 16,385,740.48
  5. Step 5: Solve for x
    x = 16,385,740.48/5,334.62
  6. Step 6: Final answer
    x = 3,071.59

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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.