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Finding the Fourth Proportional to 4,763.40, 6,572.98 and 3,194.44

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Solution

The fourth proportional to 4,763.40, 6,572.98 and 3,194.44 is: 4,407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.40 : 6,572.98 = 3,194.44 : x
  2. Step 2: Convert to fraction form
    4,763.40/6,572.98 = 3,194.44/x
  3. Step 3: Cross multiply
    4,763.40x = 6,572.98 × 3,194.44
  4. Step 4: Simplify right side
    4,763.40x = 20,996,990.23
  5. Step 5: Solve for x
    x = 20,996,990.23/4,763.40
  6. Step 6: Final answer
    x = 4,407.98

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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.