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Finding the Fourth Proportional to 5,313.24, 7,965.50 and 4,618.28

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Solution

The fourth proportional to 5,313.24, 7,965.50 and 4,618.28 is: 6,923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.24 : 7,965.50 = 4,618.28 : x
  2. Step 2: Convert to fraction form
    5,313.24/7,965.50 = 4,618.28/x
  3. Step 3: Cross multiply
    5,313.24x = 7,965.50 × 4,618.28
  4. Step 4: Simplify right side
    5,313.24x = 36,786,909.34
  5. Step 5: Solve for x
    x = 36,786,909.34/5,313.24
  6. Step 6: Final answer
    x = 6,923.63

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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.