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Finding the Fourth Proportional to 3,783.61, 5,218.43 and 2,457.74

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Solution

The fourth proportional to 3,783.61, 5,218.43 and 2,457.74 is: 3,389.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.61 : 5,218.43 = 2,457.74 : x
  2. Step 2: Convert to fraction form
    3,783.61/5,218.43 = 2,457.74/x
  3. Step 3: Cross multiply
    3,783.61x = 5,218.43 × 2,457.74
  4. Step 4: Simplify right side
    3,783.61x = 12,825,544.91
  5. Step 5: Solve for x
    x = 12,825,544.91/3,783.61
  6. Step 6: Final answer
    x = 3,389.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.