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Finding the Fourth Proportional to 5,633.12, 7,776.20 and 3,618.65

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Solution

The fourth proportional to 5,633.12, 7,776.20 and 3,618.65 is: 4,995.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.12 : 7,776.20 = 3,618.65 : x
  2. Step 2: Convert to fraction form
    5,633.12/7,776.20 = 3,618.65/x
  3. Step 3: Cross multiply
    5,633.12x = 7,776.20 × 3,618.65
  4. Step 4: Simplify right side
    5,633.12x = 28,139,289.16
  5. Step 5: Solve for x
    x = 28,139,289.16/5,633.12
  6. Step 6: Final answer
    x = 4,995.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.