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Finding the Fourth Proportional to 4,538.82, 6,809.52 and 1,617.36

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Solution

The fourth proportional to 4,538.82, 6,809.52 and 1,617.36 is: 2,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.82 : 6,809.52 = 1,617.36 : x
  2. Step 2: Convert to fraction form
    4,538.82/6,809.52 = 1,617.36/x
  3. Step 3: Cross multiply
    4,538.82x = 6,809.52 × 1,617.36
  4. Step 4: Simplify right side
    4,538.82x = 11,013,445.27
  5. Step 5: Solve for x
    x = 11,013,445.27/4,538.82
  6. Step 6: Final answer
    x = 2,426.50

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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.