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Finding the Fourth Proportional to 3,796.84, 5,696.40 and 1,457.92

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Solution

The fourth proportional to 3,796.84, 5,696.40 and 1,457.92 is: 2,187.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.84 : 5,696.40 = 1,457.92 : x
  2. Step 2: Convert to fraction form
    3,796.84/5,696.40 = 1,457.92/x
  3. Step 3: Cross multiply
    3,796.84x = 5,696.40 × 1,457.92
  4. Step 4: Simplify right side
    3,796.84x = 8,304,895.49
  5. Step 5: Solve for x
    x = 8,304,895.49/3,796.84
  6. Step 6: Final answer
    x = 2,187.32

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Why These Related Problems?

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