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Finding the Fourth Proportional to 4,659.50, 6,430.24 and 2,563.76

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Solution

The fourth proportional to 4,659.50, 6,430.24 and 2,563.76 is: 3,538.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.50 : 6,430.24 = 2,563.76 : x
  2. Step 2: Convert to fraction form
    4,659.50/6,430.24 = 2,563.76/x
  3. Step 3: Cross multiply
    4,659.50x = 6,430.24 × 2,563.76
  4. Step 4: Simplify right side
    4,659.50x = 16,485,592.10
  5. Step 5: Solve for x
    x = 16,485,592.10/4,659.50
  6. Step 6: Final answer
    x = 3,538.06

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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.