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Finding the Fourth Proportional to 4,678.35, 6,456.08 and 2,582.47

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Solution

The fourth proportional to 4,678.35, 6,456.08 and 2,582.47 is: 3,563.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.35 : 6,456.08 = 2,582.47 : x
  2. Step 2: Convert to fraction form
    4,678.35/6,456.08 = 2,582.47/x
  3. Step 3: Cross multiply
    4,678.35x = 6,456.08 × 2,582.47
  4. Step 4: Simplify right side
    4,678.35x = 16,672,632.92
  5. Step 5: Solve for x
    x = 16,672,632.92/4,678.35
  6. Step 6: Final answer
    x = 3,563.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.