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Finding the Fourth Proportional to 5,143.01, 7,098.03 and 3,820.46

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Solution

The fourth proportional to 5,143.01, 7,098.03 and 3,820.46 is: 5,272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.01 : 7,098.03 = 3,820.46 : x
  2. Step 2: Convert to fraction form
    5,143.01/7,098.03 = 3,820.46/x
  3. Step 3: Cross multiply
    5,143.01x = 7,098.03 × 3,820.46
  4. Step 4: Simplify right side
    5,143.01x = 27,117,704.20
  5. Step 5: Solve for x
    x = 27,117,704.20/5,143.01
  6. Step 6: Final answer
    x = 5,272.74

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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.