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Finding the Fourth Proportional to 4,681.72, 7,021.77 and 2,568.10

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Solution

The fourth proportional to 4,681.72, 7,021.77 and 2,568.10 is: 3,851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.72 : 7,021.77 = 2,568.10 : x
  2. Step 2: Convert to fraction form
    4,681.72/7,021.77 = 2,568.10/x
  3. Step 3: Cross multiply
    4,681.72x = 7,021.77 × 2,568.10
  4. Step 4: Simplify right side
    4,681.72x = 18,032,607.54
  5. Step 5: Solve for x
    x = 18,032,607.54/4,681.72
  6. Step 6: Final answer
    x = 3,851.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.