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Finding the Fourth Proportional to 5,739.30, 8,052.30 and 5,739.30

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Solution

The fourth proportional to 5,739.30, 8,052.30 and 5,739.30 is: 8,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.30 : 8,052.30 = 5,739.30 : x
  2. Step 2: Convert to fraction form
    5,739.30/8,052.30 = 5,739.30/x
  3. Step 3: Cross multiply
    5,739.30x = 8,052.30 × 5,739.30
  4. Step 4: Simplify right side
    5,739.30x = 46,214,565.39
  5. Step 5: Solve for x
    x = 46,214,565.39/5,739.30
  6. Step 6: Final answer
    x = 8,052.30

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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.