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Finding the Fourth Proportional to 5,486.30, 8,230.65 and 2,563.01

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Solution

The fourth proportional to 5,486.30, 8,230.65 and 2,563.01 is: 3,845.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.30 : 8,230.65 = 2,563.01 : x
  2. Step 2: Convert to fraction form
    5,486.30/8,230.65 = 2,563.01/x
  3. Step 3: Cross multiply
    5,486.30x = 8,230.65 × 2,563.01
  4. Step 4: Simplify right side
    5,486.30x = 21,095,197.10
  5. Step 5: Solve for x
    x = 21,095,197.10/5,486.30
  6. Step 6: Final answer
    x = 3,845.07

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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.