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Finding the Fourth Proportional to 4,097.80, 6,133.74 and 2,924.02

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Solution

The fourth proportional to 4,097.80, 6,133.74 and 2,924.02 is: 4,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.80 : 6,133.74 = 2,924.02 : x
  2. Step 2: Convert to fraction form
    4,097.80/6,133.74 = 2,924.02/x
  3. Step 3: Cross multiply
    4,097.80x = 6,133.74 × 2,924.02
  4. Step 4: Simplify right side
    4,097.80x = 17,935,178.43
  5. Step 5: Solve for x
    x = 17,935,178.43/4,097.80
  6. Step 6: Final answer
    x = 4,376.78

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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.