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Finding the Fourth Proportional to 5,478.76, 8,218.14 and 5,003.56

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Solution

The fourth proportional to 5,478.76, 8,218.14 and 5,003.56 is: 7,505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.76 : 8,218.14 = 5,003.56 : x
  2. Step 2: Convert to fraction form
    5,478.76/8,218.14 = 5,003.56/x
  3. Step 3: Cross multiply
    5,478.76x = 8,218.14 × 5,003.56
  4. Step 4: Simplify right side
    5,478.76x = 41,119,956.58
  5. Step 5: Solve for x
    x = 41,119,956.58/5,478.76
  6. Step 6: Final answer
    x = 7,505.34

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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.