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Finding the Fourth Proportional to 5,984.86, 8,259.70 and 3,628.66

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Solution

The fourth proportional to 5,984.86, 8,259.70 and 3,628.66 is: 5,007.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.86 : 8,259.70 = 3,628.66 : x
  2. Step 2: Convert to fraction form
    5,984.86/8,259.70 = 3,628.66/x
  3. Step 3: Cross multiply
    5,984.86x = 8,259.70 × 3,628.66
  4. Step 4: Simplify right side
    5,984.86x = 29,971,643.00
  5. Step 5: Solve for x
    x = 29,971,643.00/5,984.86
  6. Step 6: Final answer
    x = 5,007.91

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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.