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Finding the Fourth Proportional to 4,256.96, 5,874.72 and 2,394.40

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Solution

The fourth proportional to 4,256.96, 5,874.72 and 2,394.40 is: 3,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256.96 : 5,874.72 = 2,394.40 : x
  2. Step 2: Convert to fraction form
    4,256.96/5,874.72 = 2,394.40/x
  3. Step 3: Cross multiply
    4,256.96x = 5,874.72 × 2,394.40
  4. Step 4: Simplify right side
    4,256.96x = 14,066,429.57
  5. Step 5: Solve for x
    x = 14,066,429.57/4,256.96
  6. Step 6: Final answer
    x = 3,304.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.