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Finding the Fourth Proportional to 4,164.63, 5,737.43 and 2,903.39

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Solution

The fourth proportional to 4,164.63, 5,737.43 and 2,903.39 is: 3,999.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.63 : 5,737.43 = 2,903.39 : x
  2. Step 2: Convert to fraction form
    4,164.63/5,737.43 = 2,903.39/x
  3. Step 3: Cross multiply
    4,164.63x = 5,737.43 × 2,903.39
  4. Step 4: Simplify right side
    4,164.63x = 16,658,018.49
  5. Step 5: Solve for x
    x = 16,658,018.49/4,164.63
  6. Step 6: Final answer
    x = 3,999.88

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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.