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Finding the Fourth Proportional to 4,709.97, 6,456.54 and 4,666.41

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Solution

The fourth proportional to 4,709.97, 6,456.54 and 4,666.41 is: 6,396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.97 : 6,456.54 = 4,666.41 : x
  2. Step 2: Convert to fraction form
    4,709.97/6,456.54 = 4,666.41/x
  3. Step 3: Cross multiply
    4,709.97x = 6,456.54 × 4,666.41
  4. Step 4: Simplify right side
    4,709.97x = 30,128,862.82
  5. Step 5: Solve for x
    x = 30,128,862.82/4,709.97
  6. Step 6: Final answer
    x = 6,396.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.