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Finding the Fourth Proportional to 5,358.36, 7,387.67 and 4,161.32

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Solution

The fourth proportional to 5,358.36, 7,387.67 and 4,161.32 is: 5,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.36 : 7,387.67 = 4,161.32 : x
  2. Step 2: Convert to fraction form
    5,358.36/7,387.67 = 4,161.32/x
  3. Step 3: Cross multiply
    5,358.36x = 7,387.67 × 4,161.32
  4. Step 4: Simplify right side
    5,358.36x = 30,742,460.09
  5. Step 5: Solve for x
    x = 30,742,460.09/5,358.36
  6. Step 6: Final answer
    x = 5,737.29

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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.