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Finding the Fourth Proportional to 5,664.21, 7,823.15 and 3,772.68

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Solution

The fourth proportional to 5,664.21, 7,823.15 and 3,772.68 is: 5,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.21 : 7,823.15 = 3,772.68 : x
  2. Step 2: Convert to fraction form
    5,664.21/7,823.15 = 3,772.68/x
  3. Step 3: Cross multiply
    5,664.21x = 7,823.15 × 3,772.68
  4. Step 4: Simplify right side
    5,664.21x = 29,514,207.49
  5. Step 5: Solve for x
    x = 29,514,207.49/5,664.21
  6. Step 6: Final answer
    x = 5,210.65

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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.