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Finding the Fourth Proportional to 5,286.54, 7,927.08 and 2,323.80

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Solution

The fourth proportional to 5,286.54, 7,927.08 and 2,323.80 is: 3,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.54 : 7,927.08 = 2,323.80 : x
  2. Step 2: Convert to fraction form
    5,286.54/7,927.08 = 2,323.80/x
  3. Step 3: Cross multiply
    5,286.54x = 7,927.08 × 2,323.80
  4. Step 4: Simplify right side
    5,286.54x = 18,420,948.50
  5. Step 5: Solve for x
    x = 18,420,948.50/5,286.54
  6. Step 6: Final answer
    x = 3,484.50

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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.