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Finding the Fourth Proportional to 4,666.23, 6,440.45 and 2,965.23

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Solution

The fourth proportional to 4,666.23, 6,440.45 and 2,965.23 is: 4,092.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.23 : 6,440.45 = 2,965.23 : x
  2. Step 2: Convert to fraction form
    4,666.23/6,440.45 = 2,965.23/x
  3. Step 3: Cross multiply
    4,666.23x = 6,440.45 × 2,965.23
  4. Step 4: Simplify right side
    4,666.23x = 19,097,400.73
  5. Step 5: Solve for x
    x = 19,097,400.73/4,666.23
  6. Step 6: Final answer
    x = 4,092.68

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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.