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Finding the Fourth Proportional to 5,824.42, 8,735.01 and 1,928.32

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Solution

The fourth proportional to 5,824.42, 8,735.01 and 1,928.32 is: 2,891.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.42 : 8,735.01 = 1,928.32 : x
  2. Step 2: Convert to fraction form
    5,824.42/8,735.01 = 1,928.32/x
  3. Step 3: Cross multiply
    5,824.42x = 8,735.01 × 1,928.32
  4. Step 4: Simplify right side
    5,824.42x = 16,843,894.48
  5. Step 5: Solve for x
    x = 16,843,894.48/5,824.42
  6. Step 6: Final answer
    x = 2,891.94

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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.