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Finding the Fourth Proportional to 4,674.63, 6,451.08 and 2,578.77

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Solution

The fourth proportional to 4,674.63, 6,451.08 and 2,578.77 is: 3,558.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.63 : 6,451.08 = 2,578.77 : x
  2. Step 2: Convert to fraction form
    4,674.63/6,451.08 = 2,578.77/x
  3. Step 3: Cross multiply
    4,674.63x = 6,451.08 × 2,578.77
  4. Step 4: Simplify right side
    4,674.63x = 16,635,851.57
  5. Step 5: Solve for x
    x = 16,635,851.57/4,674.63
  6. Step 6: Final answer
    x = 3,558.75

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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.