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Finding the Fourth Proportional to 4,633.84, 6,950.76 and 2,136.34

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Solution

The fourth proportional to 4,633.84, 6,950.76 and 2,136.34 is: 3,204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.84 : 6,950.76 = 2,136.34 : x
  2. Step 2: Convert to fraction form
    4,633.84/6,950.76 = 2,136.34/x
  3. Step 3: Cross multiply
    4,633.84x = 6,950.76 × 2,136.34
  4. Step 4: Simplify right side
    4,633.84x = 14,849,186.62
  5. Step 5: Solve for x
    x = 14,849,186.62/4,633.84
  6. Step 6: Final answer
    x = 3,204.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.