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Finding the Fourth Proportional to 4,617, 6,354.45 and 3,813.89

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Solution

The fourth proportional to 4,617, 6,354.45 and 3,813.89 is: 5,249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617 : 6,354.45 = 3,813.89 : x
  2. Step 2: Convert to fraction form
    4,617/6,354.45 = 3,813.89/x
  3. Step 3: Cross multiply
    4,617x = 6,354.45 × 3,813.89
  4. Step 4: Simplify right side
    4,617x = 24,235,141.54
  5. Step 5: Solve for x
    x = 24,235,141.54/4,617
  6. Step 6: Final answer
    x = 5,249.11

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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.