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Finding the Fourth Proportional to 4,270.84, 5,893.59 and 2,478.23

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Solution

The fourth proportional to 4,270.84, 5,893.59 and 2,478.23 is: 3,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.84 : 5,893.59 = 2,478.23 : x
  2. Step 2: Convert to fraction form
    4,270.84/5,893.59 = 2,478.23/x
  3. Step 3: Cross multiply
    4,270.84x = 5,893.59 × 2,478.23
  4. Step 4: Simplify right side
    4,270.84x = 14,605,682.30
  5. Step 5: Solve for x
    x = 14,605,682.30/4,270.84
  6. Step 6: Final answer
    x = 3,419.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.