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Finding the Fourth Proportional to 3,838.52, 5,295.41 and 2,346.13

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Solution

The fourth proportional to 3,838.52, 5,295.41 and 2,346.13 is: 3,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.52 : 5,295.41 = 2,346.13 : x
  2. Step 2: Convert to fraction form
    3,838.52/5,295.41 = 2,346.13/x
  3. Step 3: Cross multiply
    3,838.52x = 5,295.41 × 2,346.13
  4. Step 4: Simplify right side
    3,838.52x = 12,423,682.06
  5. Step 5: Solve for x
    x = 12,423,682.06/3,838.52
  6. Step 6: Final answer
    x = 3,236.59

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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.