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Finding the Fourth Proportional to 5,137.63, 7,667.09 and 4,584

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Solution

The fourth proportional to 5,137.63, 7,667.09 and 4,584 is: 6,840.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.63 : 7,667.09 = 4,584 : x
  2. Step 2: Convert to fraction form
    5,137.63/7,667.09 = 4,584/x
  3. Step 3: Cross multiply
    5,137.63x = 7,667.09 × 4,584
  4. Step 4: Simplify right side
    5,137.63x = 35,145,940.56
  5. Step 5: Solve for x
    x = 35,145,940.56/5,137.63
  6. Step 6: Final answer
    x = 6,840.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.