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Finding the Fourth Proportional to 5,232.70, 7,836.90 and 3,580.30

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Solution

The fourth proportional to 5,232.70, 7,836.90 and 3,580.30 is: 5,362.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.70 : 7,836.90 = 3,580.30 : x
  2. Step 2: Convert to fraction form
    5,232.70/7,836.90 = 3,580.30/x
  3. Step 3: Cross multiply
    5,232.70x = 7,836.90 × 3,580.30
  4. Step 4: Simplify right side
    5,232.70x = 28,058,453.07
  5. Step 5: Solve for x
    x = 28,058,453.07/5,232.70
  6. Step 6: Final answer
    x = 5,362.14

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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.