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Finding the Fourth Proportional to 5,230.86, 7,214.20 and 4,436.25

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Solution

The fourth proportional to 5,230.86, 7,214.20 and 4,436.25 is: 6,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.86 : 7,214.20 = 4,436.25 : x
  2. Step 2: Convert to fraction form
    5,230.86/7,214.20 = 4,436.25/x
  3. Step 3: Cross multiply
    5,230.86x = 7,214.20 × 4,436.25
  4. Step 4: Simplify right side
    5,230.86x = 32,003,994.75
  5. Step 5: Solve for x
    x = 32,003,994.75/5,230.86
  6. Step 6: Final answer
    x = 6,118.30

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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.