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Finding the Fourth Proportional to 5,829.56, 8,744.28 and 3,490.22

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Solution

The fourth proportional to 5,829.56, 8,744.28 and 3,490.22 is: 5,235.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.56 : 8,744.28 = 3,490.22 : x
  2. Step 2: Convert to fraction form
    5,829.56/8,744.28 = 3,490.22/x
  3. Step 3: Cross multiply
    5,829.56x = 8,744.28 × 3,490.22
  4. Step 4: Simplify right side
    5,829.56x = 30,519,460.94
  5. Step 5: Solve for x
    x = 30,519,460.94/5,829.56
  6. Step 6: Final answer
    x = 5,235.29

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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.