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Finding the Fourth Proportional to 5,777.49, 8,665.29 and 1,617.78

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Solution

The fourth proportional to 5,777.49, 8,665.29 and 1,617.78 is: 2,426.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.49 : 8,665.29 = 1,617.78 : x
  2. Step 2: Convert to fraction form
    5,777.49/8,665.29 = 1,617.78/x
  3. Step 3: Cross multiply
    5,777.49x = 8,665.29 × 1,617.78
  4. Step 4: Simplify right side
    5,777.49x = 14,018,532.86
  5. Step 5: Solve for x
    x = 14,018,532.86/5,777.49
  6. Step 6: Final answer
    x = 2,426.41

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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.