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Finding the Fourth Proportional to 4,549.56, 6,810.21 and 2,464.38

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Solution

The fourth proportional to 4,549.56, 6,810.21 and 2,464.38 is: 3,688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.56 : 6,810.21 = 2,464.38 : x
  2. Step 2: Convert to fraction form
    4,549.56/6,810.21 = 2,464.38/x
  3. Step 3: Cross multiply
    4,549.56x = 6,810.21 × 2,464.38
  4. Step 4: Simplify right side
    4,549.56x = 16,782,939.16
  5. Step 5: Solve for x
    x = 16,782,939.16/4,549.56
  6. Step 6: Final answer
    x = 3,688.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.