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Finding the Fourth Proportional to 5,478.40, 8,212.80 and 4,895.20

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Solution

The fourth proportional to 5,478.40, 8,212.80 and 4,895.20 is: 7,338.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.40 : 8,212.80 = 4,895.20 : x
  2. Step 2: Convert to fraction form
    5,478.40/8,212.80 = 4,895.20/x
  3. Step 3: Cross multiply
    5,478.40x = 8,212.80 × 4,895.20
  4. Step 4: Simplify right side
    5,478.40x = 40,203,298.56
  5. Step 5: Solve for x
    x = 40,203,298.56/5,478.40
  6. Step 6: Final answer
    x = 7,338.51

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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.