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Finding the Fourth Proportional to 4,678.54, 6,456.54 and 2,582.71

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Solution

The fourth proportional to 4,678.54, 6,456.54 and 2,582.71 is: 3,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.54 : 6,456.54 = 2,582.71 : x
  2. Step 2: Convert to fraction form
    4,678.54/6,456.54 = 2,582.71/x
  3. Step 3: Cross multiply
    4,678.54x = 6,456.54 × 2,582.71
  4. Step 4: Simplify right side
    4,678.54x = 16,675,370.42
  5. Step 5: Solve for x
    x = 16,675,370.42/4,678.54
  6. Step 6: Final answer
    x = 3,564.23

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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.