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Finding the Fourth Proportional to 4,667.36, 6,434 and 3,092.72

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Solution

The fourth proportional to 4,667.36, 6,434 and 3,092.72 is: 4,263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.36 : 6,434 = 3,092.72 : x
  2. Step 2: Convert to fraction form
    4,667.36/6,434 = 3,092.72/x
  3. Step 3: Cross multiply
    4,667.36x = 6,434 × 3,092.72
  4. Step 4: Simplify right side
    4,667.36x = 19,898,560.48
  5. Step 5: Solve for x
    x = 19,898,560.48/4,667.36
  6. Step 6: Final answer
    x = 4,263.34

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