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Finding the Fourth Proportional to 3,796.62, 5,240.70 and 2,602.28

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Solution

The fourth proportional to 3,796.62, 5,240.70 and 2,602.28 is: 3,592.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.62 : 5,240.70 = 2,602.28 : x
  2. Step 2: Convert to fraction form
    3,796.62/5,240.70 = 2,602.28/x
  3. Step 3: Cross multiply
    3,796.62x = 5,240.70 × 2,602.28
  4. Step 4: Simplify right side
    3,796.62x = 13,637,742.59
  5. Step 5: Solve for x
    x = 13,637,742.59/3,796.62
  6. Step 6: Final answer
    x = 3,592.07

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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.