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Finding the Fourth Proportional to 5,371.83, 7,411.82 and 4,114.31

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Solution

The fourth proportional to 5,371.83, 7,411.82 and 4,114.31 is: 5,676.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.83 : 7,411.82 = 4,114.31 : x
  2. Step 2: Convert to fraction form
    5,371.83/7,411.82 = 4,114.31/x
  3. Step 3: Cross multiply
    5,371.83x = 7,411.82 × 4,114.31
  4. Step 4: Simplify right side
    5,371.83x = 30,494,467.51
  5. Step 5: Solve for x
    x = 30,494,467.51/5,371.83
  6. Step 6: Final answer
    x = 5,676.74

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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.