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Finding the Fourth Proportional to 5,722.30, 8,580.93 and 1,827.10

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Solution

The fourth proportional to 5,722.30, 8,580.93 and 1,827.10 is: 2,739.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.30 : 8,580.93 = 1,827.10 : x
  2. Step 2: Convert to fraction form
    5,722.30/8,580.93 = 1,827.10/x
  3. Step 3: Cross multiply
    5,722.30x = 8,580.93 × 1,827.10
  4. Step 4: Simplify right side
    5,722.30x = 15,678,217.20
  5. Step 5: Solve for x
    x = 15,678,217.20/5,722.30
  6. Step 6: Final answer
    x = 2,739.85

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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.