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Finding the Fourth Proportional to 4,245.78, 6,368.37 and 1,324

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Solution

The fourth proportional to 4,245.78, 6,368.37 and 1,324 is: 1,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,245.78 : 6,368.37 = 1,324 : x
  2. Step 2: Convert to fraction form
    4,245.78/6,368.37 = 1,324/x
  3. Step 3: Cross multiply
    4,245.78x = 6,368.37 × 1,324
  4. Step 4: Simplify right side
    4,245.78x = 8,431,721.88
  5. Step 5: Solve for x
    x = 8,431,721.88/4,245.78
  6. Step 6: Final answer
    x = 1,985.91

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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.