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Finding the Fourth Proportional to 5,165.20, 7,728.30 and 3,437.20

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Solution

The fourth proportional to 5,165.20, 7,728.30 and 3,437.20 is: 5,142.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.20 : 7,728.30 = 3,437.20 : x
  2. Step 2: Convert to fraction form
    5,165.20/7,728.30 = 3,437.20/x
  3. Step 3: Cross multiply
    5,165.20x = 7,728.30 × 3,437.20
  4. Step 4: Simplify right side
    5,165.20x = 26,563,712.76
  5. Step 5: Solve for x
    x = 26,563,712.76/5,165.20
  6. Step 6: Final answer
    x = 5,142.82

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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.