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Finding the Fourth Proportional to 5,230.07, 7,840.06 and 1,765.43

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Solution

The fourth proportional to 5,230.07, 7,840.06 and 1,765.43 is: 2,646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.07 : 7,840.06 = 1,765.43 : x
  2. Step 2: Convert to fraction form
    5,230.07/7,840.06 = 1,765.43/x
  3. Step 3: Cross multiply
    5,230.07x = 7,840.06 × 1,765.43
  4. Step 4: Simplify right side
    5,230.07x = 13,841,077.13
  5. Step 5: Solve for x
    x = 13,841,077.13/5,230.07
  6. Step 6: Final answer
    x = 2,646.44

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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.