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Finding the Fourth Proportional to 4,878.02, 7,317.75 and 1,414.82

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Solution

The fourth proportional to 4,878.02, 7,317.75 and 1,414.82 is: 2,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.02 : 7,317.75 = 1,414.82 : x
  2. Step 2: Convert to fraction form
    4,878.02/7,317.75 = 1,414.82/x
  3. Step 3: Cross multiply
    4,878.02x = 7,317.75 × 1,414.82
  4. Step 4: Simplify right side
    4,878.02x = 10,353,299.06
  5. Step 5: Solve for x
    x = 10,353,299.06/4,878.02
  6. Step 6: Final answer
    x = 2,122.44

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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.