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Finding the Fourth Proportional to 3,908.61, 5,848.94 and 3,647.93

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Solution

The fourth proportional to 3,908.61, 5,848.94 and 3,647.93 is: 5,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.61 : 5,848.94 = 3,647.93 : x
  2. Step 2: Convert to fraction form
    3,908.61/5,848.94 = 3,647.93/x
  3. Step 3: Cross multiply
    3,908.61x = 5,848.94 × 3,647.93
  4. Step 4: Simplify right side
    3,908.61x = 21,336,503.57
  5. Step 5: Solve for x
    x = 21,336,503.57/3,908.61
  6. Step 6: Final answer
    x = 5,458.85

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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.