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Finding the Fourth Proportional to 6,403.69, 8,838.71 and 3,610.81

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Solution

The fourth proportional to 6,403.69, 8,838.71 and 3,610.81 is: 4,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.69 : 8,838.71 = 3,610.81 : x
  2. Step 2: Convert to fraction form
    6,403.69/8,838.71 = 3,610.81/x
  3. Step 3: Cross multiply
    6,403.69x = 8,838.71 × 3,610.81
  4. Step 4: Simplify right side
    6,403.69x = 31,914,875.84
  5. Step 5: Solve for x
    x = 31,914,875.84/6,403.69
  6. Step 6: Final answer
    x = 4,983.83

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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.