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Finding the Fourth Proportional to 4,277.40, 6,425.70 and 4,114.20

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Solution

The fourth proportional to 4,277.40, 6,425.70 and 4,114.20 is: 6,180.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.40 : 6,425.70 = 4,114.20 : x
  2. Step 2: Convert to fraction form
    4,277.40/6,425.70 = 4,114.20/x
  3. Step 3: Cross multiply
    4,277.40x = 6,425.70 × 4,114.20
  4. Step 4: Simplify right side
    4,277.40x = 26,436,614.94
  5. Step 5: Solve for x
    x = 26,436,614.94/4,277.40
  6. Step 6: Final answer
    x = 6,180.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.