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Finding the Fourth Proportional to 5,480.69, 7,563.31 and 2,962.80

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Solution

The fourth proportional to 5,480.69, 7,563.31 and 2,962.80 is: 4,088.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.69 : 7,563.31 = 2,962.80 : x
  2. Step 2: Convert to fraction form
    5,480.69/7,563.31 = 2,962.80/x
  3. Step 3: Cross multiply
    5,480.69x = 7,563.31 × 2,962.80
  4. Step 4: Simplify right side
    5,480.69x = 22,408,567.46
  5. Step 5: Solve for x
    x = 22,408,567.46/5,480.69
  6. Step 6: Final answer
    x = 4,088.64

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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.