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Finding the Fourth Proportional to 4,490, 6,196.93 and 2,602.43

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Solution

The fourth proportional to 4,490, 6,196.93 and 2,602.43 is: 3,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490 : 6,196.93 = 2,602.43 : x
  2. Step 2: Convert to fraction form
    4,490/6,196.93 = 2,602.43/x
  3. Step 3: Cross multiply
    4,490x = 6,196.93 × 2,602.43
  4. Step 4: Simplify right side
    4,490x = 16,127,076.54
  5. Step 5: Solve for x
    x = 16,127,076.54/4,490
  6. Step 6: Final answer
    x = 3,591.78

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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.