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Finding the Fourth Proportional to 4,938.94, 7,405.98 and 2,016.46

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Solution

The fourth proportional to 4,938.94, 7,405.98 and 2,016.46 is: 3,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.94 : 7,405.98 = 2,016.46 : x
  2. Step 2: Convert to fraction form
    4,938.94/7,405.98 = 2,016.46/x
  3. Step 3: Cross multiply
    4,938.94x = 7,405.98 × 2,016.46
  4. Step 4: Simplify right side
    4,938.94x = 14,933,862.43
  5. Step 5: Solve for x
    x = 14,933,862.43/4,938.94
  6. Step 6: Final answer
    x = 3,023.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.