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Finding the Fourth Proportional to 5,671.17, 7,820.97 and 3,546.02

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Solution

The fourth proportional to 5,671.17, 7,820.97 and 3,546.02 is: 4,890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.17 : 7,820.97 = 3,546.02 : x
  2. Step 2: Convert to fraction form
    5,671.17/7,820.97 = 3,546.02/x
  3. Step 3: Cross multiply
    5,671.17x = 7,820.97 × 3,546.02
  4. Step 4: Simplify right side
    5,671.17x = 27,733,276.93
  5. Step 5: Solve for x
    x = 27,733,276.93/5,671.17
  6. Step 6: Final answer
    x = 4,890.22

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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.