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Finding the Fourth Proportional to 4,228.78, 6,343.78 and 1,307.31

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Solution

The fourth proportional to 4,228.78, 6,343.78 and 1,307.31 is: 1,961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.78 : 6,343.78 = 1,307.31 : x
  2. Step 2: Convert to fraction form
    4,228.78/6,343.78 = 1,307.31/x
  3. Step 3: Cross multiply
    4,228.78x = 6,343.78 × 1,307.31
  4. Step 4: Simplify right side
    4,228.78x = 8,293,299.62
  5. Step 5: Solve for x
    x = 8,293,299.62/4,228.78
  6. Step 6: Final answer
    x = 1,961.16

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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.