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Finding the Fourth Proportional to 5,203.36, 7,804.74 and 1,693.36

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Solution

The fourth proportional to 5,203.36, 7,804.74 and 1,693.36 is: 2,539.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.36 : 7,804.74 = 1,693.36 : x
  2. Step 2: Convert to fraction form
    5,203.36/7,804.74 = 1,693.36/x
  3. Step 3: Cross multiply
    5,203.36x = 7,804.74 × 1,693.36
  4. Step 4: Simplify right side
    5,203.36x = 13,216,234.53
  5. Step 5: Solve for x
    x = 13,216,234.53/5,203.36
  6. Step 6: Final answer
    x = 2,539.94

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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.