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Finding the Fourth Proportional to 3,006.86, 4,495.50 and 2,549.75

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Solution

The fourth proportional to 3,006.86, 4,495.50 and 2,549.75 is: 3,812.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.86 : 4,495.50 = 2,549.75 : x
  2. Step 2: Convert to fraction form
    3,006.86/4,495.50 = 2,549.75/x
  3. Step 3: Cross multiply
    3,006.86x = 4,495.50 × 2,549.75
  4. Step 4: Simplify right side
    3,006.86x = 11,462,378.65
  5. Step 5: Solve for x
    x = 11,462,378.65/3,006.86
  6. Step 6: Final answer
    x = 3,812.08

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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.