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Finding the Fourth Proportional to 5,346.42, 8,014.64 and 2,383.31

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Solution

The fourth proportional to 5,346.42, 8,014.64 and 2,383.31 is: 3,572.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.42 : 8,014.64 = 2,383.31 : x
  2. Step 2: Convert to fraction form
    5,346.42/8,014.64 = 2,383.31/x
  3. Step 3: Cross multiply
    5,346.42x = 8,014.64 × 2,383.31
  4. Step 4: Simplify right side
    5,346.42x = 19,101,319.67
  5. Step 5: Solve for x
    x = 19,101,319.67/5,346.42
  6. Step 6: Final answer
    x = 3,572.73

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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.