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Finding the Fourth Proportional to 4,930.96, 7,393.98 and 1,642.90

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Solution

The fourth proportional to 4,930.96, 7,393.98 and 1,642.90 is: 2,463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.96 : 7,393.98 = 1,642.90 : x
  2. Step 2: Convert to fraction form
    4,930.96/7,393.98 = 1,642.90/x
  3. Step 3: Cross multiply
    4,930.96x = 7,393.98 × 1,642.90
  4. Step 4: Simplify right side
    4,930.96x = 12,147,569.74
  5. Step 5: Solve for x
    x = 12,147,569.74/4,930.96
  6. Step 6: Final answer
    x = 2,463.53

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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.