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Finding the Fourth Proportional to 4,270.53, 5,893.37 and 2,478.38

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Solution

The fourth proportional to 4,270.53, 5,893.37 and 2,478.38 is: 3,420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.53 : 5,893.37 = 2,478.38 : x
  2. Step 2: Convert to fraction form
    4,270.53/5,893.37 = 2,478.38/x
  3. Step 3: Cross multiply
    4,270.53x = 5,893.37 × 2,478.38
  4. Step 4: Simplify right side
    4,270.53x = 14,605,968.48
  5. Step 5: Solve for x
    x = 14,605,968.48/4,270.53
  6. Step 6: Final answer
    x = 3,420.18

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Why These Related Problems?

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