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Finding the Fourth Proportional to 5,203.20, 7,804.32 and 1,740.48

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Solution

The fourth proportional to 5,203.20, 7,804.32 and 1,740.48 is: 2,610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.20 : 7,804.32 = 1,740.48 : x
  2. Step 2: Convert to fraction form
    5,203.20/7,804.32 = 1,740.48/x
  3. Step 3: Cross multiply
    5,203.20x = 7,804.32 × 1,740.48
  4. Step 4: Simplify right side
    5,203.20x = 13,583,262.87
  5. Step 5: Solve for x
    x = 13,583,262.87/5,203.20
  6. Step 6: Final answer
    x = 2,610.56

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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.