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Finding the Fourth Proportional to 4,470.63, 6,169.77 and 2,582.30

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Solution

The fourth proportional to 4,470.63, 6,169.77 and 2,582.30 is: 3,563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.63 : 6,169.77 = 2,582.30 : x
  2. Step 2: Convert to fraction form
    4,470.63/6,169.77 = 2,582.30/x
  3. Step 3: Cross multiply
    4,470.63x = 6,169.77 × 2,582.30
  4. Step 4: Simplify right side
    4,470.63x = 15,932,197.07
  5. Step 5: Solve for x
    x = 15,932,197.07/4,470.63
  6. Step 6: Final answer
    x = 3,563.75

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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.