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Finding the Fourth Proportional to 4,307.10, 6,426.17 and 3,839.33

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Solution

The fourth proportional to 4,307.10, 6,426.17 and 3,839.33 is: 5,728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.10 : 6,426.17 = 3,839.33 : x
  2. Step 2: Convert to fraction form
    4,307.10/6,426.17 = 3,839.33/x
  3. Step 3: Cross multiply
    4,307.10x = 6,426.17 × 3,839.33
  4. Step 4: Simplify right side
    4,307.10x = 24,672,135.94
  5. Step 5: Solve for x
    x = 24,672,135.94/4,307.10
  6. Step 6: Final answer
    x = 5,728.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.