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Finding the Fourth Proportional to 4,097.57, 6,154.63 and 2,457.23

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Solution

The fourth proportional to 4,097.57, 6,154.63 and 2,457.23 is: 3,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.57 : 6,154.63 = 2,457.23 : x
  2. Step 2: Convert to fraction form
    4,097.57/6,154.63 = 2,457.23/x
  3. Step 3: Cross multiply
    4,097.57x = 6,154.63 × 2,457.23
  4. Step 4: Simplify right side
    4,097.57x = 15,123,304.56
  5. Step 5: Solve for x
    x = 15,123,304.56/4,097.57
  6. Step 6: Final answer
    x = 3,690.80

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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.