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Finding the Fourth Proportional to 4,969.97, 7,455.70 and 1,637.61

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Solution

The fourth proportional to 4,969.97, 7,455.70 and 1,637.61 is: 2,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.97 : 7,455.70 = 1,637.61 : x
  2. Step 2: Convert to fraction form
    4,969.97/7,455.70 = 1,637.61/x
  3. Step 3: Cross multiply
    4,969.97x = 7,455.70 × 1,637.61
  4. Step 4: Simplify right side
    4,969.97x = 12,209,528.88
  5. Step 5: Solve for x
    x = 12,209,528.88/4,969.97
  6. Step 6: Final answer
    x = 2,456.66

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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.