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Finding the Fourth Proportional to 5,203.70, 7,805.43 and 2,430.02

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Solution

The fourth proportional to 5,203.70, 7,805.43 and 2,430.02 is: 3,644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.70 : 7,805.43 = 2,430.02 : x
  2. Step 2: Convert to fraction form
    5,203.70/7,805.43 = 2,430.02/x
  3. Step 3: Cross multiply
    5,203.70x = 7,805.43 × 2,430.02
  4. Step 4: Simplify right side
    5,203.70x = 18,967,351.01
  5. Step 5: Solve for x
    x = 18,967,351.01/5,203.70
  6. Step 6: Final answer
    x = 3,644.97

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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.