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Finding the Fourth Proportional to 5,847.77, 8,069.96 and 3,489.32

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Solution

The fourth proportional to 5,847.77, 8,069.96 and 3,489.32 is: 4,815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.77 : 8,069.96 = 3,489.32 : x
  2. Step 2: Convert to fraction form
    5,847.77/8,069.96 = 3,489.32/x
  3. Step 3: Cross multiply
    5,847.77x = 8,069.96 × 3,489.32
  4. Step 4: Simplify right side
    5,847.77x = 28,158,672.83
  5. Step 5: Solve for x
    x = 28,158,672.83/5,847.77
  6. Step 6: Final answer
    x = 4,815.28

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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.