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Finding the Fourth Proportional to 4,671.90, 6,446.97 and 2,903.64

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Solution

The fourth proportional to 4,671.90, 6,446.97 and 2,903.64 is: 4,006.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.90 : 6,446.97 = 2,903.64 : x
  2. Step 2: Convert to fraction form
    4,671.90/6,446.97 = 2,903.64/x
  3. Step 3: Cross multiply
    4,671.90x = 6,446.97 × 2,903.64
  4. Step 4: Simplify right side
    4,671.90x = 18,719,679.97
  5. Step 5: Solve for x
    x = 18,719,679.97/4,671.90
  6. Step 6: Final answer
    x = 4,006.87

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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.