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Finding the Fourth Proportional to 5,114.45, 7,671.68 and 1,604.73

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Solution

The fourth proportional to 5,114.45, 7,671.68 and 1,604.73 is: 2,407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.45 : 7,671.68 = 1,604.73 : x
  2. Step 2: Convert to fraction form
    5,114.45/7,671.68 = 1,604.73/x
  3. Step 3: Cross multiply
    5,114.45x = 7,671.68 × 1,604.73
  4. Step 4: Simplify right side
    5,114.45x = 12,310,971.03
  5. Step 5: Solve for x
    x = 12,310,971.03/5,114.45
  6. Step 6: Final answer
    x = 2,407.10

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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.