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Finding the Fourth Proportional to 4,659.67, 6,430.26 and 2,563.75

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Solution

The fourth proportional to 4,659.67, 6,430.26 and 2,563.75 is: 3,537.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.67 : 6,430.26 = 2,563.75 : x
  2. Step 2: Convert to fraction form
    4,659.67/6,430.26 = 2,563.75/x
  3. Step 3: Cross multiply
    4,659.67x = 6,430.26 × 2,563.75
  4. Step 4: Simplify right side
    4,659.67x = 16,485,579.08
  5. Step 5: Solve for x
    x = 16,485,579.08/4,659.67
  6. Step 6: Final answer
    x = 3,537.93

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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.