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Finding the Fourth Proportional to 4,659.85, 6,430.68 and 2,563.96

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Solution

The fourth proportional to 4,659.85, 6,430.68 and 2,563.96 is: 3,538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.85 : 6,430.68 = 2,563.96 : x
  2. Step 2: Convert to fraction form
    4,659.85/6,430.68 = 2,563.96/x
  3. Step 3: Cross multiply
    4,659.85x = 6,430.68 × 2,563.96
  4. Step 4: Simplify right side
    4,659.85x = 16,488,006.29
  5. Step 5: Solve for x
    x = 16,488,006.29/4,659.85
  6. Step 6: Final answer
    x = 3,538.31

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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.