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Finding the Fourth Proportional to 3,543.16, 4,889.25 and 1,971.34

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Solution

The fourth proportional to 3,543.16, 4,889.25 and 1,971.34 is: 2,720.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.16 : 4,889.25 = 1,971.34 : x
  2. Step 2: Convert to fraction form
    3,543.16/4,889.25 = 1,971.34/x
  3. Step 3: Cross multiply
    3,543.16x = 4,889.25 × 1,971.34
  4. Step 4: Simplify right side
    3,543.16x = 9,638,374.10
  5. Step 5: Solve for x
    x = 9,638,374.10/3,543.16
  6. Step 6: Final answer
    x = 2,720.28

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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.