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Finding the Fourth Proportional to 3,539.86, 4,885.10 and 2,048.24

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Solution

The fourth proportional to 3,539.86, 4,885.10 and 2,048.24 is: 2,826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.86 : 4,885.10 = 2,048.24 : x
  2. Step 2: Convert to fraction form
    3,539.86/4,885.10 = 2,048.24/x
  3. Step 3: Cross multiply
    3,539.86x = 4,885.10 × 2,048.24
  4. Step 4: Simplify right side
    3,539.86x = 10,005,857.22
  5. Step 5: Solve for x
    x = 10,005,857.22/3,539.86
  6. Step 6: Final answer
    x = 2,826.63

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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.