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Finding the Fourth Proportional to 5,376.45, 7,416.85 and 4,667.34

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Solution

The fourth proportional to 5,376.45, 7,416.85 and 4,667.34 is: 6,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376.45 : 7,416.85 = 4,667.34 : x
  2. Step 2: Convert to fraction form
    5,376.45/7,416.85 = 4,667.34/x
  3. Step 3: Cross multiply
    5,376.45x = 7,416.85 × 4,667.34
  4. Step 4: Simplify right side
    5,376.45x = 34,616,960.68
  5. Step 5: Solve for x
    x = 34,616,960.68/5,376.45
  6. Step 6: Final answer
    x = 6,438.63

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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.