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Finding the Fourth Proportional to 4,688.46, 6,469.95 and 2,563.95

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Solution

The fourth proportional to 4,688.46, 6,469.95 and 2,563.95 is: 3,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.46 : 6,469.95 = 2,563.95 : x
  2. Step 2: Convert to fraction form
    4,688.46/6,469.95 = 2,563.95/x
  3. Step 3: Cross multiply
    4,688.46x = 6,469.95 × 2,563.95
  4. Step 4: Simplify right side
    4,688.46x = 16,588,628.30
  5. Step 5: Solve for x
    x = 16,588,628.30/4,688.46
  6. Step 6: Final answer
    x = 3,538.18

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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.