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Finding the Fourth Proportional to 3,826.14, 5,741.25 and 3,547.29

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Solution

The fourth proportional to 3,826.14, 5,741.25 and 3,547.29 is: 5,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.14 : 5,741.25 = 3,547.29 : x
  2. Step 2: Convert to fraction form
    3,826.14/5,741.25 = 3,547.29/x
  3. Step 3: Cross multiply
    3,826.14x = 5,741.25 × 3,547.29
  4. Step 4: Simplify right side
    3,826.14x = 20,365,916.87
  5. Step 5: Solve for x
    x = 20,365,916.87/3,826.14
  6. Step 6: Final answer
    x = 5,322.84

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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.