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Finding the Fourth Proportional to 3,741.40, 5,161.02 and 2,341.72

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Solution

The fourth proportional to 3,741.40, 5,161.02 and 2,341.72 is: 3,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.40 : 5,161.02 = 2,341.72 : x
  2. Step 2: Convert to fraction form
    3,741.40/5,161.02 = 2,341.72/x
  3. Step 3: Cross multiply
    3,741.40x = 5,161.02 × 2,341.72
  4. Step 4: Simplify right side
    3,741.40x = 12,085,663.75
  5. Step 5: Solve for x
    x = 12,085,663.75/3,741.40
  6. Step 6: Final answer
    x = 3,230.25

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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.