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Finding the Fourth Proportional to 4,657.78, 6,420.26 and 3,165.22

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Solution

The fourth proportional to 4,657.78, 6,420.26 and 3,165.22 is: 4,362.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.78 : 6,420.26 = 3,165.22 : x
  2. Step 2: Convert to fraction form
    4,657.78/6,420.26 = 3,165.22/x
  3. Step 3: Cross multiply
    4,657.78x = 6,420.26 × 3,165.22
  4. Step 4: Simplify right side
    4,657.78x = 20,321,535.36
  5. Step 5: Solve for x
    x = 20,321,535.36/4,657.78
  6. Step 6: Final answer
    x = 4,362.92

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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.