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Finding the Fourth Proportional to 3,540.65, 4,884.98 and 2,048.15

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Solution

The fourth proportional to 3,540.65, 4,884.98 and 2,048.15 is: 2,825.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.65 : 4,884.98 = 2,048.15 : x
  2. Step 2: Convert to fraction form
    3,540.65/4,884.98 = 2,048.15/x
  3. Step 3: Cross multiply
    3,540.65x = 4,884.98 × 2,048.15
  4. Step 4: Simplify right side
    3,540.65x = 10,005,173.76
  5. Step 5: Solve for x
    x = 10,005,173.76/3,540.65
  6. Step 6: Final answer
    x = 2,825.81

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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.