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Finding the Fourth Proportional to 4,002.47, 6,005.82 and 2,839.99

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Solution

The fourth proportional to 4,002.47, 6,005.82 and 2,839.99 is: 4,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.47 : 6,005.82 = 2,839.99 : x
  2. Step 2: Convert to fraction form
    4,002.47/6,005.82 = 2,839.99/x
  3. Step 3: Cross multiply
    4,002.47x = 6,005.82 × 2,839.99
  4. Step 4: Simplify right side
    4,002.47x = 17,056,468.74
  5. Step 5: Solve for x
    x = 17,056,468.74/4,002.47
  6. Step 6: Final answer
    x = 4,261.49

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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.