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Finding the Fourth Proportional to 3,543.14, 4,889.58 and 1,971.23

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Solution

The fourth proportional to 3,543.14, 4,889.58 and 1,971.23 is: 2,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.14 : 4,889.58 = 1,971.23 : x
  2. Step 2: Convert to fraction form
    3,543.14/4,889.58 = 1,971.23/x
  3. Step 3: Cross multiply
    3,543.14x = 4,889.58 × 1,971.23
  4. Step 4: Simplify right side
    3,543.14x = 9,638,486.78
  5. Step 5: Solve for x
    x = 9,638,486.78/3,543.14
  6. Step 6: Final answer
    x = 2,720.32

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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.