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Finding the Fourth Proportional to 4,002.36, 6,005.36 and 2,054.71

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Solution

The fourth proportional to 4,002.36, 6,005.36 and 2,054.71 is: 3,083.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.36 : 6,005.36 = 2,054.71 : x
  2. Step 2: Convert to fraction form
    4,002.36/6,005.36 = 2,054.71/x
  3. Step 3: Cross multiply
    4,002.36x = 6,005.36 × 2,054.71
  4. Step 4: Simplify right side
    4,002.36x = 12,339,273.25
  5. Step 5: Solve for x
    x = 12,339,273.25/4,002.36
  6. Step 6: Final answer
    x = 3,083.00

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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.