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Finding the Fourth Proportional to 5,823.54, 8,735.70 and 3,499.38

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Solution

The fourth proportional to 5,823.54, 8,735.70 and 3,499.38 is: 5,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.54 : 8,735.70 = 3,499.38 : x
  2. Step 2: Convert to fraction form
    5,823.54/8,735.70 = 3,499.38/x
  3. Step 3: Cross multiply
    5,823.54x = 8,735.70 × 3,499.38
  4. Step 4: Simplify right side
    5,823.54x = 30,569,533.87
  5. Step 5: Solve for x
    x = 30,569,533.87/5,823.54
  6. Step 6: Final answer
    x = 5,249.30

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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.