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Finding the Fourth Proportional to 5,665.35, 7,821.99 and 4,336.68

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Solution

The fourth proportional to 5,665.35, 7,821.99 and 4,336.68 is: 5,987.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.35 : 7,821.99 = 4,336.68 : x
  2. Step 2: Convert to fraction form
    5,665.35/7,821.99 = 4,336.68/x
  3. Step 3: Cross multiply
    5,665.35x = 7,821.99 × 4,336.68
  4. Step 4: Simplify right side
    5,665.35x = 33,921,467.59
  5. Step 5: Solve for x
    x = 33,921,467.59/5,665.35
  6. Step 6: Final answer
    x = 5,987.53

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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.