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Finding the Fourth Proportional to 4,470, 6,169.44 and 2,582.79

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Solution

The fourth proportional to 4,470, 6,169.44 and 2,582.79 is: 3,564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470 : 6,169.44 = 2,582.79 : x
  2. Step 2: Convert to fraction form
    4,470/6,169.44 = 2,582.79/x
  3. Step 3: Cross multiply
    4,470x = 6,169.44 × 2,582.79
  4. Step 4: Simplify right side
    4,470x = 15,934,367.94
  5. Step 5: Solve for x
    x = 15,934,367.94/4,470
  6. Step 6: Final answer
    x = 3,564.74

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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.