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Finding the Fourth Proportional to 4,563.87, 6,298.13 and 2,468.00

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Solution

The fourth proportional to 4,563.87, 6,298.13 and 2,468.00 is: 3,405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.87 : 6,298.13 = 2,468.00 : x
  2. Step 2: Convert to fraction form
    4,563.87/6,298.13 = 2,468.00/x
  3. Step 3: Cross multiply
    4,563.87x = 6,298.13 × 2,468.00
  4. Step 4: Simplify right side
    4,563.87x = 15,543,741.01
  5. Step 5: Solve for x
    x = 15,543,741.01/4,563.87
  6. Step 6: Final answer
    x = 3,405.82

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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.