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Finding the Fourth Proportional to 3,623.50, 5,006.00 and 3,097.86

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Solution

The fourth proportional to 3,623.50, 5,006.00 and 3,097.86 is: 4,279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,623.50 : 5,006.00 = 3,097.86 : x
  2. Step 2: Convert to fraction form
    3,623.50/5,006.00 = 3,097.86/x
  3. Step 3: Cross multiply
    3,623.50x = 5,006.00 × 3,097.86
  4. Step 4: Simplify right side
    3,623.50x = 15,507,894.90
  5. Step 5: Solve for x
    x = 15,507,894.90/3,623.50
  6. Step 6: Final answer
    x = 4,279.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.