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Finding the Fourth Proportional to 3,540.04, 4,885.30 and 2,048.08

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Solution

The fourth proportional to 3,540.04, 4,885.30 and 2,048.08 is: 2,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.04 : 4,885.30 = 2,048.08 : x
  2. Step 2: Convert to fraction form
    3,540.04/4,885.30 = 2,048.08/x
  3. Step 3: Cross multiply
    3,540.04x = 4,885.30 × 2,048.08
  4. Step 4: Simplify right side
    3,540.04x = 10,005,485.22
  5. Step 5: Solve for x
    x = 10,005,485.22/3,540.04
  6. Step 6: Final answer
    x = 2,826.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.