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Finding the Fourth Proportional to 3,838.41, 5,295.36 and 2,421

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Solution

The fourth proportional to 3,838.41, 5,295.36 and 2,421 is: 3,339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.41 : 5,295.36 = 2,421 : x
  2. Step 2: Convert to fraction form
    3,838.41/5,295.36 = 2,421/x
  3. Step 3: Cross multiply
    3,838.41x = 5,295.36 × 2,421
  4. Step 4: Simplify right side
    3,838.41x = 12,820,066.56
  5. Step 5: Solve for x
    x = 12,820,066.56/3,838.41
  6. Step 6: Final answer
    x = 3,339.94

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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.