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Finding the Fourth Proportional to 3,254.84, 4,490.47 and 2,136.40

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Solution

The fourth proportional to 3,254.84, 4,490.47 and 2,136.40 is: 2,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.84 : 4,490.47 = 2,136.40 : x
  2. Step 2: Convert to fraction form
    3,254.84/4,490.47 = 2,136.40/x
  3. Step 3: Cross multiply
    3,254.84x = 4,490.47 × 2,136.40
  4. Step 4: Simplify right side
    3,254.84x = 9,593,440.11
  5. Step 5: Solve for x
    x = 9,593,440.11/3,254.84
  6. Step 6: Final answer
    x = 2,947.44

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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.