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Finding the Fourth Proportional to 3,547.54, 5,321.88 and 2,161.90

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Solution

The fourth proportional to 3,547.54, 5,321.88 and 2,161.90 is: 3,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.54 : 5,321.88 = 2,161.90 : x
  2. Step 2: Convert to fraction form
    3,547.54/5,321.88 = 2,161.90/x
  3. Step 3: Cross multiply
    3,547.54x = 5,321.88 × 2,161.90
  4. Step 4: Simplify right side
    3,547.54x = 11,505,372.37
  5. Step 5: Solve for x
    x = 11,505,372.37/3,547.54
  6. Step 6: Final answer
    x = 3,243.20

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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.