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Finding the Fourth Proportional to 4,878.28, 7,318.62 and 1,415.56

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Solution

The fourth proportional to 4,878.28, 7,318.62 and 1,415.56 is: 2,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.28 : 7,318.62 = 1,415.56 : x
  2. Step 2: Convert to fraction form
    4,878.28/7,318.62 = 1,415.56/x
  3. Step 3: Cross multiply
    4,878.28x = 7,318.62 × 1,415.56
  4. Step 4: Simplify right side
    4,878.28x = 10,359,945.73
  5. Step 5: Solve for x
    x = 10,359,945.73/4,878.28
  6. Step 6: Final answer
    x = 2,123.69

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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.