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Finding the Fourth Proportional to 5,945.60, 8,203.20 and 5,340.80

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Solution

The fourth proportional to 5,945.60, 8,203.20 and 5,340.80 is: 7,368.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.60 : 8,203.20 = 5,340.80 : x
  2. Step 2: Convert to fraction form
    5,945.60/8,203.20 = 5,340.80/x
  3. Step 3: Cross multiply
    5,945.60x = 8,203.20 × 5,340.80
  4. Step 4: Simplify right side
    5,945.60x = 43,811,650.56
  5. Step 5: Solve for x
    x = 43,811,650.56/5,945.60
  6. Step 6: Final answer
    x = 7,368.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.