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Finding the Fourth Proportional to 4,453.47, 6,145.16 and 2,464.00

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Solution

The fourth proportional to 4,453.47, 6,145.16 and 2,464.00 is: 3,399.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,453.47 : 6,145.16 = 2,464.00 : x
  2. Step 2: Convert to fraction form
    4,453.47/6,145.16 = 2,464.00/x
  3. Step 3: Cross multiply
    4,453.47x = 6,145.16 × 2,464.00
  4. Step 4: Simplify right side
    4,453.47x = 15,141,646.56
  5. Step 5: Solve for x
    x = 15,141,646.56/4,453.47
  6. Step 6: Final answer
    x = 3,399.97

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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.