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Finding the Fourth Proportional to 4,828.72, 7,242.96 and 2,054.68

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Solution

The fourth proportional to 4,828.72, 7,242.96 and 2,054.68 is: 3,081.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.72 : 7,242.96 = 2,054.68 : x
  2. Step 2: Convert to fraction form
    4,828.72/7,242.96 = 2,054.68/x
  3. Step 3: Cross multiply
    4,828.72x = 7,242.96 × 2,054.68
  4. Step 4: Simplify right side
    4,828.72x = 14,881,965.05
  5. Step 5: Solve for x
    x = 14,881,965.05/4,828.72
  6. Step 6: Final answer
    x = 3,081.97

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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.