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Finding the Fourth Proportional to 4,820.78, 7,231.44 and 1,358.30

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Solution

The fourth proportional to 4,820.78, 7,231.44 and 1,358.30 is: 2,037.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,820.78 : 7,231.44 = 1,358.30 : x
  2. Step 2: Convert to fraction form
    4,820.78/7,231.44 = 1,358.30/x
  3. Step 3: Cross multiply
    4,820.78x = 7,231.44 × 1,358.30
  4. Step 4: Simplify right side
    4,820.78x = 9,822,464.95
  5. Step 5: Solve for x
    x = 9,822,464.95/4,820.78
  6. Step 6: Final answer
    x = 2,037.53

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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.