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Finding the Fourth Proportional to 5,639.61, 7,785.19 and 3,625.95

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Solution

The fourth proportional to 5,639.61, 7,785.19 and 3,625.95 is: 5,005.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.61 : 7,785.19 = 3,625.95 : x
  2. Step 2: Convert to fraction form
    5,639.61/7,785.19 = 3,625.95/x
  3. Step 3: Cross multiply
    5,639.61x = 7,785.19 × 3,625.95
  4. Step 4: Simplify right side
    5,639.61x = 28,228,661.69
  5. Step 5: Solve for x
    x = 28,228,661.69/5,639.61
  6. Step 6: Final answer
    x = 5,005.43

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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.