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Finding the Fourth Proportional to 5,560.86, 7,674.16 and 3,202.96

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Solution

The fourth proportional to 5,560.86, 7,674.16 and 3,202.96 is: 4,420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,560.86 : 7,674.16 = 3,202.96 : x
  2. Step 2: Convert to fraction form
    5,560.86/7,674.16 = 3,202.96/x
  3. Step 3: Cross multiply
    5,560.86x = 7,674.16 × 3,202.96
  4. Step 4: Simplify right side
    5,560.86x = 24,580,027.51
  5. Step 5: Solve for x
    x = 24,580,027.51/5,560.86
  6. Step 6: Final answer
    x = 4,420.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.