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Finding the Fourth Proportional to 5,970.62, 8,240.19 and 3,873.98

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Solution

The fourth proportional to 5,970.62, 8,240.19 and 3,873.98 is: 5,346.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.62 : 8,240.19 = 3,873.98 : x
  2. Step 2: Convert to fraction form
    5,970.62/8,240.19 = 3,873.98/x
  3. Step 3: Cross multiply
    5,970.62x = 8,240.19 × 3,873.98
  4. Step 4: Simplify right side
    5,970.62x = 31,922,331.26
  5. Step 5: Solve for x
    x = 31,922,331.26/5,970.62
  6. Step 6: Final answer
    x = 5,346.57

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1.5x scale

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.