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Finding the Fourth Proportional to 4,023.49, 6,027 and 2,458.57

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Solution

The fourth proportional to 4,023.49, 6,027 and 2,458.57 is: 3,682.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,023.49 : 6,027 = 2,458.57 : x
  2. Step 2: Convert to fraction form
    4,023.49/6,027 = 2,458.57/x
  3. Step 3: Cross multiply
    4,023.49x = 6,027 × 2,458.57
  4. Step 4: Simplify right side
    4,023.49x = 14,817,801.39
  5. Step 5: Solve for x
    x = 14,817,801.39/4,023.49
  6. Step 6: Final answer
    x = 3,682.82

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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.