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Finding the Fourth Proportional to 4,257.36, 5,874.84 and 2,394

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Solution

The fourth proportional to 4,257.36, 5,874.84 and 2,394 is: 3,303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.36 : 5,874.84 = 2,394 : x
  2. Step 2: Convert to fraction form
    4,257.36/5,874.84 = 2,394/x
  3. Step 3: Cross multiply
    4,257.36x = 5,874.84 × 2,394
  4. Step 4: Simplify right side
    4,257.36x = 14,064,366.96
  5. Step 5: Solve for x
    x = 14,064,366.96/4,257.36
  6. Step 6: Final answer
    x = 3,303.54

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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.