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Finding the Fourth Proportional to 5,090.60, 7,024.82 and 2,966.20

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Solution

The fourth proportional to 5,090.60, 7,024.82 and 2,966.20 is: 4,093.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.60 : 7,024.82 = 2,966.20 : x
  2. Step 2: Convert to fraction form
    5,090.60/7,024.82 = 2,966.20/x
  3. Step 3: Cross multiply
    5,090.60x = 7,024.82 × 2,966.20
  4. Step 4: Simplify right side
    5,090.60x = 20,836,988.69
  5. Step 5: Solve for x
    x = 20,836,988.69/5,090.60
  6. Step 6: Final answer
    x = 4,093.23

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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.