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Finding the Fourth Proportional to 4,257.16, 5,874.82 and 2,394.16

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Solution

The fourth proportional to 4,257.16, 5,874.82 and 2,394.16 is: 3,303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.16 : 5,874.82 = 2,394.16 : x
  2. Step 2: Convert to fraction form
    4,257.16/5,874.82 = 2,394.16/x
  3. Step 3: Cross multiply
    4,257.16x = 5,874.82 × 2,394.16
  4. Step 4: Simplify right side
    4,257.16x = 14,065,223.69
  5. Step 5: Solve for x
    x = 14,065,223.69/4,257.16
  6. Step 6: Final answer
    x = 3,303.90

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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.