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Finding the Fourth Proportional to 4,548.48, 6,826.41 and 2,357.82

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Solution

The fourth proportional to 4,548.48, 6,826.41 and 2,357.82 is: 3,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.48 : 6,826.41 = 2,357.82 : x
  2. Step 2: Convert to fraction form
    4,548.48/6,826.41 = 2,357.82/x
  3. Step 3: Cross multiply
    4,548.48x = 6,826.41 × 2,357.82
  4. Step 4: Simplify right side
    4,548.48x = 16,095,446.03
  5. Step 5: Solve for x
    x = 16,095,446.03/4,548.48
  6. Step 6: Final answer
    x = 3,538.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.