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Finding the Fourth Proportional to 5,824.90, 8,739.14 and 3,487.54

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Solution

The fourth proportional to 5,824.90, 8,739.14 and 3,487.54 is: 5,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.90 : 8,739.14 = 3,487.54 : x
  2. Step 2: Convert to fraction form
    5,824.90/8,739.14 = 3,487.54/x
  3. Step 3: Cross multiply
    5,824.90x = 8,739.14 × 3,487.54
  4. Step 4: Simplify right side
    5,824.90x = 30,478,100.32
  5. Step 5: Solve for x
    x = 30,478,100.32/5,824.90
  6. Step 6: Final answer
    x = 5,232.38

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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.