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Finding the Fourth Proportional to 5,003.64, 7,502.67 and 2,814.80

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Solution

The fourth proportional to 5,003.64, 7,502.67 and 2,814.80 is: 4,220.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.64 : 7,502.67 = 2,814.80 : x
  2. Step 2: Convert to fraction form
    5,003.64/7,502.67 = 2,814.80/x
  3. Step 3: Cross multiply
    5,003.64x = 7,502.67 × 2,814.80
  4. Step 4: Simplify right side
    5,003.64x = 21,118,478.00
  5. Step 5: Solve for x
    x = 21,118,478.00/5,003.64
  6. Step 6: Final answer
    x = 4,220.62

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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.