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Finding the Fourth Proportional to 3,246.30, 4,845.87 and 3,006

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Solution

The fourth proportional to 3,246.30, 4,845.87 and 3,006 is: 4,487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.30 : 4,845.87 = 3,006 : x
  2. Step 2: Convert to fraction form
    3,246.30/4,845.87 = 3,006/x
  3. Step 3: Cross multiply
    3,246.30x = 4,845.87 × 3,006
  4. Step 4: Simplify right side
    3,246.30x = 14,566,685.22
  5. Step 5: Solve for x
    x = 14,566,685.22/3,246.30
  6. Step 6: Final answer
    x = 4,487.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.