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Finding the Fourth Proportional to 3,196.73, 4,411.40 and 3,102.41

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Solution

The fourth proportional to 3,196.73, 4,411.40 and 3,102.41 is: 4,281.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.73 : 4,411.40 = 3,102.41 : x
  2. Step 2: Convert to fraction form
    3,196.73/4,411.40 = 3,102.41/x
  3. Step 3: Cross multiply
    3,196.73x = 4,411.40 × 3,102.41
  4. Step 4: Simplify right side
    3,196.73x = 13,685,971.47
  5. Step 5: Solve for x
    x = 13,685,971.47/3,196.73
  6. Step 6: Final answer
    x = 4,281.25

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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.