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Finding the Fourth Proportional to 4,654.48, 6,426.24 and 4,162

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Solution

The fourth proportional to 4,654.48, 6,426.24 and 4,162 is: 5,746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.48 : 6,426.24 = 4,162 : x
  2. Step 2: Convert to fraction form
    4,654.48/6,426.24 = 4,162/x
  3. Step 3: Cross multiply
    4,654.48x = 6,426.24 × 4,162
  4. Step 4: Simplify right side
    4,654.48x = 26,746,010.88
  5. Step 5: Solve for x
    x = 26,746,010.88/4,654.48
  6. Step 6: Final answer
    x = 5,746.29

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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.