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Finding the Fourth Proportional to 4,000.10, 5,523.09 and 2,430.30

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Solution

The fourth proportional to 4,000.10, 5,523.09 and 2,430.30 is: 3,355.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.10 : 5,523.09 = 2,430.30 : x
  2. Step 2: Convert to fraction form
    4,000.10/5,523.09 = 2,430.30/x
  3. Step 3: Cross multiply
    4,000.10x = 5,523.09 × 2,430.30
  4. Step 4: Simplify right side
    4,000.10x = 13,422,765.63
  5. Step 5: Solve for x
    x = 13,422,765.63/4,000.10
  6. Step 6: Final answer
    x = 3,355.61

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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.