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Finding the Fourth Proportional to 3,543.40, 4,889.77 and 1,971.46

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Solution

The fourth proportional to 3,543.40, 4,889.77 and 1,971.46 is: 2,720.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.40 : 4,889.77 = 1,971.46 : x
  2. Step 2: Convert to fraction form
    3,543.40/4,889.77 = 1,971.46/x
  3. Step 3: Cross multiply
    3,543.40x = 4,889.77 × 1,971.46
  4. Step 4: Simplify right side
    3,543.40x = 9,639,985.96
  5. Step 5: Solve for x
    x = 9,639,985.96/3,543.40
  6. Step 6: Final answer
    x = 2,720.55

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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.