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Finding the Fourth Proportional to 5,204.14, 7,805.06 and 1,505.56

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Solution

The fourth proportional to 5,204.14, 7,805.06 and 1,505.56 is: 2,258.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.14 : 7,805.06 = 1,505.56 : x
  2. Step 2: Convert to fraction form
    5,204.14/7,805.06 = 1,505.56/x
  3. Step 3: Cross multiply
    5,204.14x = 7,805.06 × 1,505.56
  4. Step 4: Simplify right side
    5,204.14x = 11,750,986.13
  5. Step 5: Solve for x
    x = 11,750,986.13/5,204.14
  6. Step 6: Final answer
    x = 2,258.01

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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.