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Finding the Fourth Proportional to 4,674.84, 6,451 and 2,578.96

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Solution

The fourth proportional to 4,674.84, 6,451 and 2,578.96 is: 3,558.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.84 : 6,451 = 2,578.96 : x
  2. Step 2: Convert to fraction form
    4,674.84/6,451 = 2,578.96/x
  3. Step 3: Cross multiply
    4,674.84x = 6,451 × 2,578.96
  4. Step 4: Simplify right side
    4,674.84x = 16,636,870.96
  5. Step 5: Solve for x
    x = 16,636,870.96/4,674.84
  6. Step 6: Final answer
    x = 3,558.81

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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.