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Finding the Fourth Proportional to 4,582.82, 6,863.48 and 2,235.48

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Solution

The fourth proportional to 4,582.82, 6,863.48 and 2,235.48 is: 3,347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.82 : 6,863.48 = 2,235.48 : x
  2. Step 2: Convert to fraction form
    4,582.82/6,863.48 = 2,235.48/x
  3. Step 3: Cross multiply
    4,582.82x = 6,863.48 × 2,235.48
  4. Step 4: Simplify right side
    4,582.82x = 15,343,143.74
  5. Step 5: Solve for x
    x = 15,343,143.74/4,582.82
  6. Step 6: Final answer
    x = 3,347.97

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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.