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Finding the Fourth Proportional to 4,647.84, 6,414.33 and 2,551.98

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Solution

The fourth proportional to 4,647.84, 6,414.33 and 2,551.98 is: 3,521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.84 : 6,414.33 = 2,551.98 : x
  2. Step 2: Convert to fraction form
    4,647.84/6,414.33 = 2,551.98/x
  3. Step 3: Cross multiply
    4,647.84x = 6,414.33 × 2,551.98
  4. Step 4: Simplify right side
    4,647.84x = 16,369,241.87
  5. Step 5: Solve for x
    x = 16,369,241.87/4,647.84
  6. Step 6: Final answer
    x = 3,521.90

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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.