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Finding the Fourth Proportional to 5,362.40, 8,029.20 and 5,362.40

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Solution

The fourth proportional to 5,362.40, 8,029.20 and 5,362.40 is: 8,029.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.40 : 8,029.20 = 5,362.40 : x
  2. Step 2: Convert to fraction form
    5,362.40/8,029.20 = 5,362.40/x
  3. Step 3: Cross multiply
    5,362.40x = 8,029.20 × 5,362.40
  4. Step 4: Simplify right side
    5,362.40x = 43,055,782.08
  5. Step 5: Solve for x
    x = 43,055,782.08/5,362.40
  6. Step 6: Final answer
    x = 8,029.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.