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Finding the Fourth Proportional to 4,560.14, 6,293 and 2,464.28

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Solution

The fourth proportional to 4,560.14, 6,293 and 2,464.28 is: 3,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.14 : 6,293 = 2,464.28 : x
  2. Step 2: Convert to fraction form
    4,560.14/6,293 = 2,464.28/x
  3. Step 3: Cross multiply
    4,560.14x = 6,293 × 2,464.28
  4. Step 4: Simplify right side
    4,560.14x = 15,507,714.04
  5. Step 5: Solve for x
    x = 15,507,714.04/4,560.14
  6. Step 6: Final answer
    x = 3,400.71

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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.