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Finding the Fourth Proportional to 5,144.66, 7,667.49 and 5,101.76

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Solution

The fourth proportional to 5,144.66, 7,667.49 and 5,101.76 is: 7,603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.66 : 7,667.49 = 5,101.76 : x
  2. Step 2: Convert to fraction form
    5,144.66/7,667.49 = 5,101.76/x
  3. Step 3: Cross multiply
    5,144.66x = 7,667.49 × 5,101.76
  4. Step 4: Simplify right side
    5,144.66x = 39,117,668.27
  5. Step 5: Solve for x
    x = 39,117,668.27/5,144.66
  6. Step 6: Final answer
    x = 7,603.55

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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.