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Finding the Fourth Proportional to 3,642.08, 5,029.47 and 2,368.17

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Solution

The fourth proportional to 3,642.08, 5,029.47 and 2,368.17 is: 3,270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.08 : 5,029.47 = 2,368.17 : x
  2. Step 2: Convert to fraction form
    3,642.08/5,029.47 = 2,368.17/x
  3. Step 3: Cross multiply
    3,642.08x = 5,029.47 × 2,368.17
  4. Step 4: Simplify right side
    3,642.08x = 11,910,639.97
  5. Step 5: Solve for x
    x = 11,910,639.97/3,642.08
  6. Step 6: Final answer
    x = 3,270.29

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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.