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Finding the Fourth Proportional to 5,202.56, 7,803.30 and 1,505.36

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Solution

The fourth proportional to 5,202.56, 7,803.30 and 1,505.36 is: 2,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.56 : 7,803.30 = 1,505.36 : x
  2. Step 2: Convert to fraction form
    5,202.56/7,803.30 = 1,505.36/x
  3. Step 3: Cross multiply
    5,202.56x = 7,803.30 × 1,505.36
  4. Step 4: Simplify right side
    5,202.56x = 11,746,775.69
  5. Step 5: Solve for x
    x = 11,746,775.69/5,202.56
  6. Step 6: Final answer
    x = 2,257.88

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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.