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Finding the Fourth Proportional to 5,663.60, 7,815.82 and 3,305.29

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Solution

The fourth proportional to 5,663.60, 7,815.82 and 3,305.29 is: 4,561.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.60 : 7,815.82 = 3,305.29 : x
  2. Step 2: Convert to fraction form
    5,663.60/7,815.82 = 3,305.29/x
  3. Step 3: Cross multiply
    5,663.60x = 7,815.82 × 3,305.29
  4. Step 4: Simplify right side
    5,663.60x = 25,833,551.69
  5. Step 5: Solve for x
    x = 25,833,551.69/5,663.60
  6. Step 6: Final answer
    x = 4,561.33

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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.