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Finding the Fourth Proportional to 6,184.32, 8,534.04 and 3,669.26

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Solution

The fourth proportional to 6,184.32, 8,534.04 and 3,669.26 is: 5,063.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.32 : 8,534.04 = 3,669.26 : x
  2. Step 2: Convert to fraction form
    6,184.32/8,534.04 = 3,669.26/x
  3. Step 3: Cross multiply
    6,184.32x = 8,534.04 × 3,669.26
  4. Step 4: Simplify right side
    6,184.32x = 31,313,611.61
  5. Step 5: Solve for x
    x = 31,313,611.61/6,184.32
  6. Step 6: Final answer
    x = 5,063.39

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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.