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Finding the Fourth Proportional to 3,461.84, 4,778.21 and 2,136.64

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Solution

The fourth proportional to 3,461.84, 4,778.21 and 2,136.64 is: 2,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.84 : 4,778.21 = 2,136.64 : x
  2. Step 2: Convert to fraction form
    3,461.84/4,778.21 = 2,136.64/x
  3. Step 3: Cross multiply
    3,461.84x = 4,778.21 × 2,136.64
  4. Step 4: Simplify right side
    3,461.84x = 10,209,314.61
  5. Step 5: Solve for x
    x = 10,209,314.61/3,461.84
  6. Step 6: Final answer
    x = 2,949.10

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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.