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Finding the Fourth Proportional to 5,986.27, 8,978.77 and 1,604.17

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Solution

The fourth proportional to 5,986.27, 8,978.77 and 1,604.17 is: 2,406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.27 : 8,978.77 = 1,604.17 : x
  2. Step 2: Convert to fraction form
    5,986.27/8,978.77 = 1,604.17/x
  3. Step 3: Cross multiply
    5,986.27x = 8,978.77 × 1,604.17
  4. Step 4: Simplify right side
    5,986.27x = 14,403,473.47
  5. Step 5: Solve for x
    x = 14,403,473.47/5,986.27
  6. Step 6: Final answer
    x = 2,406.08

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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.