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Finding the Fourth Proportional to 4,563.94, 6,298.22 and 2,468.06

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Solution

The fourth proportional to 4,563.94, 6,298.22 and 2,468.06 is: 3,405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.94 : 6,298.22 = 2,468.06 : x
  2. Step 2: Convert to fraction form
    4,563.94/6,298.22 = 2,468.06/x
  3. Step 3: Cross multiply
    4,563.94x = 6,298.22 × 2,468.06
  4. Step 4: Simplify right side
    4,563.94x = 15,544,384.85
  5. Step 5: Solve for x
    x = 15,544,384.85/4,563.94
  6. Step 6: Final answer
    x = 3,405.91

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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.