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Finding the Fourth Proportional to 5,203.07, 7,805.84 and 1,505.39

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Solution

The fourth proportional to 5,203.07, 7,805.84 and 1,505.39 is: 2,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.07 : 7,805.84 = 1,505.39 : x
  2. Step 2: Convert to fraction form
    5,203.07/7,805.84 = 1,505.39/x
  3. Step 3: Cross multiply
    5,203.07x = 7,805.84 × 1,505.39
  4. Step 4: Simplify right side
    5,203.07x = 11,750,786.92
  5. Step 5: Solve for x
    x = 11,750,786.92/5,203.07
  6. Step 6: Final answer
    x = 2,258.43

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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.