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Finding the Fourth Proportional to 4,755.70, 6,667.70 and 4,755.70

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Solution

The fourth proportional to 4,755.70, 6,667.70 and 4,755.70 is: 6,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.70 : 6,667.70 = 4,755.70 : x
  2. Step 2: Convert to fraction form
    4,755.70/6,667.70 = 4,755.70/x
  3. Step 3: Cross multiply
    4,755.70x = 6,667.70 × 4,755.70
  4. Step 4: Simplify right side
    4,755.70x = 31,709,580.89
  5. Step 5: Solve for x
    x = 31,709,580.89/4,755.70
  6. Step 6: Final answer
    x = 6,667.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.