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Finding the Fourth Proportional to 4,277.57, 5,903.28 and 3,019.03

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Solution

The fourth proportional to 4,277.57, 5,903.28 and 3,019.03 is: 4,166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.57 : 5,903.28 = 3,019.03 : x
  2. Step 2: Convert to fraction form
    4,277.57/5,903.28 = 3,019.03/x
  3. Step 3: Cross multiply
    4,277.57x = 5,903.28 × 3,019.03
  4. Step 4: Simplify right side
    4,277.57x = 17,822,179.42
  5. Step 5: Solve for x
    x = 17,822,179.42/4,277.57
  6. Step 6: Final answer
    x = 4,166.43

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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.