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Finding the Fourth Proportional to 5,823.69, 8,735.73 and 1,928.13

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Solution

The fourth proportional to 5,823.69, 8,735.73 and 1,928.13 is: 2,892.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.69 : 8,735.73 = 1,928.13 : x
  2. Step 2: Convert to fraction form
    5,823.69/8,735.73 = 1,928.13/x
  3. Step 3: Cross multiply
    5,823.69x = 8,735.73 × 1,928.13
  4. Step 4: Simplify right side
    5,823.69x = 16,843,623.08
  5. Step 5: Solve for x
    x = 16,843,623.08/5,823.69
  6. Step 6: Final answer
    x = 2,892.26

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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.