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Finding the Fourth Proportional to 4,235.69, 6,353.26 and 1,313.75

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Solution

The fourth proportional to 4,235.69, 6,353.26 and 1,313.75 is: 1,970.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.69 : 6,353.26 = 1,313.75 : x
  2. Step 2: Convert to fraction form
    4,235.69/6,353.26 = 1,313.75/x
  3. Step 3: Cross multiply
    4,235.69x = 6,353.26 × 1,313.75
  4. Step 4: Simplify right side
    4,235.69x = 8,346,595.33
  5. Step 5: Solve for x
    x = 8,346,595.33/4,235.69
  6. Step 6: Final answer
    x = 1,970.54

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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.