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Finding the Fourth Proportional to 5,650.29, 7,801.29 and 4,321.68

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Solution

The fourth proportional to 5,650.29, 7,801.29 and 4,321.68 is: 5,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650.29 : 7,801.29 = 4,321.68 : x
  2. Step 2: Convert to fraction form
    5,650.29/7,801.29 = 4,321.68/x
  3. Step 3: Cross multiply
    5,650.29x = 7,801.29 × 4,321.68
  4. Step 4: Simplify right side
    5,650.29x = 33,714,678.97
  5. Step 5: Solve for x
    x = 33,714,678.97/5,650.29
  6. Step 6: Final answer
    x = 5,966.89

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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.