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Finding the Fourth Proportional to 4,671.98, 6,447.07 and 2,903.57

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Solution

The fourth proportional to 4,671.98, 6,447.07 and 2,903.57 is: 4,006.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.98 : 6,447.07 = 2,903.57 : x
  2. Step 2: Convert to fraction form
    4,671.98/6,447.07 = 2,903.57/x
  3. Step 3: Cross multiply
    4,671.98x = 6,447.07 × 2,903.57
  4. Step 4: Simplify right side
    4,671.98x = 18,719,519.04
  5. Step 5: Solve for x
    x = 18,719,519.04/4,671.98
  6. Step 6: Final answer
    x = 4,006.76

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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.