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Finding the Fourth Proportional to 5,536.69, 8,303.62 and 1,640.19

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Solution

The fourth proportional to 5,536.69, 8,303.62 and 1,640.19 is: 2,459.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.69 : 8,303.62 = 1,640.19 : x
  2. Step 2: Convert to fraction form
    5,536.69/8,303.62 = 1,640.19/x
  3. Step 3: Cross multiply
    5,536.69x = 8,303.62 × 1,640.19
  4. Step 4: Simplify right side
    5,536.69x = 13,619,514.49
  5. Step 5: Solve for x
    x = 13,619,514.49/5,536.69
  6. Step 6: Final answer
    x = 2,459.87

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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.