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Finding the Fourth Proportional to 5,143.84, 7,712.82 and 1,633.18

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Solution

The fourth proportional to 5,143.84, 7,712.82 and 1,633.18 is: 2,448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.84 : 7,712.82 = 1,633.18 : x
  2. Step 2: Convert to fraction form
    5,143.84/7,712.82 = 1,633.18/x
  3. Step 3: Cross multiply
    5,143.84x = 7,712.82 × 1,633.18
  4. Step 4: Simplify right side
    5,143.84x = 12,596,423.37
  5. Step 5: Solve for x
    x = 12,596,423.37/5,143.84
  6. Step 6: Final answer
    x = 2,448.84

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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.