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Finding the Fourth Proportional to 5,729.30, 8,027.50 and 5,729.30

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Solution

The fourth proportional to 5,729.30, 8,027.50 and 5,729.30 is: 8,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.30 : 8,027.50 = 5,729.30 : x
  2. Step 2: Convert to fraction form
    5,729.30/8,027.50 = 5,729.30/x
  3. Step 3: Cross multiply
    5,729.30x = 8,027.50 × 5,729.30
  4. Step 4: Simplify right side
    5,729.30x = 45,991,955.75
  5. Step 5: Solve for x
    x = 45,991,955.75/5,729.30
  6. Step 6: Final answer
    x = 8,027.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.