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Finding the Fourth Proportional to 5,777.54, 8,666.85 and 1,617.56

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Solution

The fourth proportional to 5,777.54, 8,666.85 and 1,617.56 is: 2,426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.54 : 8,666.85 = 1,617.56 : x
  2. Step 2: Convert to fraction form
    5,777.54/8,666.85 = 1,617.56/x
  3. Step 3: Cross multiply
    5,777.54x = 8,666.85 × 1,617.56
  4. Step 4: Simplify right side
    5,777.54x = 14,019,106.55
  5. Step 5: Solve for x
    x = 14,019,106.55/5,777.54
  6. Step 6: Final answer
    x = 2,426.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.