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Finding the Fourth Proportional to 4,162.39, 6,241.17 and 1,971.10

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Solution

The fourth proportional to 4,162.39, 6,241.17 and 1,971.10 is: 2,955.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.39 : 6,241.17 = 1,971.10 : x
  2. Step 2: Convert to fraction form
    4,162.39/6,241.17 = 1,971.10/x
  3. Step 3: Cross multiply
    4,162.39x = 6,241.17 × 1,971.10
  4. Step 4: Simplify right side
    4,162.39x = 12,301,970.19
  5. Step 5: Solve for x
    x = 12,301,970.19/4,162.39
  6. Step 6: Final answer
    x = 2,955.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.