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Finding the Fourth Proportional to 6,007.68, 8,289.18 and 3,649.68

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Solution

The fourth proportional to 6,007.68, 8,289.18 and 3,649.68 is: 5,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.68 : 8,289.18 = 3,649.68 : x
  2. Step 2: Convert to fraction form
    6,007.68/8,289.18 = 3,649.68/x
  3. Step 3: Cross multiply
    6,007.68x = 8,289.18 × 3,649.68
  4. Step 4: Simplify right side
    6,007.68x = 30,252,854.46
  5. Step 5: Solve for x
    x = 30,252,854.46/6,007.68
  6. Step 6: Final answer
    x = 5,035.70

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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.