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Finding the Fourth Proportional to 5,720.78, 7,895.03 and 3,203.05

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Solution

The fourth proportional to 5,720.78, 7,895.03 and 3,203.05 is: 4,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.78 : 7,895.03 = 3,203.05 : x
  2. Step 2: Convert to fraction form
    5,720.78/7,895.03 = 3,203.05/x
  3. Step 3: Cross multiply
    5,720.78x = 7,895.03 × 3,203.05
  4. Step 4: Simplify right side
    5,720.78x = 25,288,140.09
  5. Step 5: Solve for x
    x = 25,288,140.09/5,720.78
  6. Step 6: Final answer
    x = 4,420.40

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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.