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Finding the Fourth Proportional to 5,203.90, 7,805.74 and 1,455.58

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Solution

The fourth proportional to 5,203.90, 7,805.74 and 1,455.58 is: 2,183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.90 : 7,805.74 = 1,455.58 : x
  2. Step 2: Convert to fraction form
    5,203.90/7,805.74 = 1,455.58/x
  3. Step 3: Cross multiply
    5,203.90x = 7,805.74 × 1,455.58
  4. Step 4: Simplify right side
    5,203.90x = 11,361,879.03
  5. Step 5: Solve for x
    x = 11,361,879.03/5,203.90
  6. Step 6: Final answer
    x = 2,183.34

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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.