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Finding the Fourth Proportional to 4,294.96, 6,442 and 1,375.36

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Solution

The fourth proportional to 4,294.96, 6,442 and 1,375.36 is: 2,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.96 : 6,442 = 1,375.36 : x
  2. Step 2: Convert to fraction form
    4,294.96/6,442 = 1,375.36/x
  3. Step 3: Cross multiply
    4,294.96x = 6,442 × 1,375.36
  4. Step 4: Simplify right side
    4,294.96x = 8,860,069.12
  5. Step 5: Solve for x
    x = 8,860,069.12/4,294.96
  6. Step 6: Final answer
    x = 2,062.90

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Why These Related Problems?

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