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Finding the Fourth Proportional to 3,634.07, 5,013.70 and 3,280.50

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Solution

The fourth proportional to 3,634.07, 5,013.70 and 3,280.50 is: 4,525.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.07 : 5,013.70 = 3,280.50 : x
  2. Step 2: Convert to fraction form
    3,634.07/5,013.70 = 3,280.50/x
  3. Step 3: Cross multiply
    3,634.07x = 5,013.70 × 3,280.50
  4. Step 4: Simplify right side
    3,634.07x = 16,447,434.65
  5. Step 5: Solve for x
    x = 16,447,434.65/3,634.07
  6. Step 6: Final answer
    x = 4,525.91

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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.