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Finding the Fourth Proportional to 4,293.47, 5,922.02 and 3,020.05

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Solution

The fourth proportional to 4,293.47, 5,922.02 and 3,020.05 is: 4,165.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293.47 : 5,922.02 = 3,020.05 : x
  2. Step 2: Convert to fraction form
    4,293.47/5,922.02 = 3,020.05/x
  3. Step 3: Cross multiply
    4,293.47x = 5,922.02 × 3,020.05
  4. Step 4: Simplify right side
    4,293.47x = 17,884,782.39
  5. Step 5: Solve for x
    x = 17,884,782.39/4,293.47
  6. Step 6: Final answer
    x = 4,165.58

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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.