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Finding the Fourth Proportional to 4,941.34, 7,412.01 and 1,654.36

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Solution

The fourth proportional to 4,941.34, 7,412.01 and 1,654.36 is: 2,481.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.34 : 7,412.01 = 1,654.36 : x
  2. Step 2: Convert to fraction form
    4,941.34/7,412.01 = 1,654.36/x
  3. Step 3: Cross multiply
    4,941.34x = 7,412.01 × 1,654.36
  4. Step 4: Simplify right side
    4,941.34x = 12,262,132.86
  5. Step 5: Solve for x
    x = 12,262,132.86/4,941.34
  6. Step 6: Final answer
    x = 2,481.54

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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.