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Finding the Fourth Proportional to 5,894.46, 8,840.94 and 3,696.48

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Solution

The fourth proportional to 5,894.46, 8,840.94 and 3,696.48 is: 5,544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.46 : 8,840.94 = 3,696.48 : x
  2. Step 2: Convert to fraction form
    5,894.46/8,840.94 = 3,696.48/x
  3. Step 3: Cross multiply
    5,894.46x = 8,840.94 × 3,696.48
  4. Step 4: Simplify right side
    5,894.46x = 32,680,357.89
  5. Step 5: Solve for x
    x = 32,680,357.89/5,894.46
  6. Step 6: Final answer
    x = 5,544.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.