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Finding the Fourth Proportional to 3,866.54, 5,337.50 and 2,980.80

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Solution

The fourth proportional to 3,866.54, 5,337.50 and 2,980.80 is: 4,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.54 : 5,337.50 = 2,980.80 : x
  2. Step 2: Convert to fraction form
    3,866.54/5,337.50 = 2,980.80/x
  3. Step 3: Cross multiply
    3,866.54x = 5,337.50 × 2,980.80
  4. Step 4: Simplify right side
    3,866.54x = 15,910,005.10
  5. Step 5: Solve for x
    x = 15,910,005.10/3,866.54
  6. Step 6: Final answer
    x = 4,114.80

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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.