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Finding the Fourth Proportional to 5,824.26, 8,039.81 and 3,465.95

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Solution

The fourth proportional to 5,824.26, 8,039.81 and 3,465.95 is: 4,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.26 : 8,039.81 = 3,465.95 : x
  2. Step 2: Convert to fraction form
    5,824.26/8,039.81 = 3,465.95/x
  3. Step 3: Cross multiply
    5,824.26x = 8,039.81 × 3,465.95
  4. Step 4: Simplify right side
    5,824.26x = 27,865,521.94
  5. Step 5: Solve for x
    x = 27,865,521.94/5,824.26
  6. Step 6: Final answer
    x = 4,784.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.