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Finding the Fourth Proportional to 4,650.64, 6,420.69 and 3,059.80

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Solution

The fourth proportional to 4,650.64, 6,420.69 and 3,059.80 is: 4,224.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.64 : 6,420.69 = 3,059.80 : x
  2. Step 2: Convert to fraction form
    4,650.64/6,420.69 = 3,059.80/x
  3. Step 3: Cross multiply
    4,650.64x = 6,420.69 × 3,059.80
  4. Step 4: Simplify right side
    4,650.64x = 19,646,027.26
  5. Step 5: Solve for x
    x = 19,646,027.26/4,650.64
  6. Step 6: Final answer
    x = 4,224.37

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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.