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Finding the Fourth Proportional to 3,574.79, 5,350.96 and 2,457.68

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Solution

The fourth proportional to 3,574.79, 5,350.96 and 2,457.68 is: 3,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.79 : 5,350.96 = 2,457.68 : x
  2. Step 2: Convert to fraction form
    3,574.79/5,350.96 = 2,457.68/x
  3. Step 3: Cross multiply
    3,574.79x = 5,350.96 × 2,457.68
  4. Step 4: Simplify right side
    3,574.79x = 13,150,954.61
  5. Step 5: Solve for x
    x = 13,150,954.61/3,574.79
  6. Step 6: Final answer
    x = 3,678.81

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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.