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Finding the Fourth Proportional to 5,905.62, 8,841.15 and 4,661.46

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Solution

The fourth proportional to 5,905.62, 8,841.15 and 4,661.46 is: 6,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.62 : 8,841.15 = 4,661.46 : x
  2. Step 2: Convert to fraction form
    5,905.62/8,841.15 = 4,661.46/x
  3. Step 3: Cross multiply
    5,905.62x = 8,841.15 × 4,661.46
  4. Step 4: Simplify right side
    5,905.62x = 41,212,667.08
  5. Step 5: Solve for x
    x = 41,212,667.08/5,905.62
  6. Step 6: Final answer
    x = 6,978.55

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1.5x scale

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.