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Finding the Fourth Proportional to 5,984.84, 8,259.56 and 3,467.00

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Solution

The fourth proportional to 5,984.84, 8,259.56 and 3,467.00 is: 4,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.84 : 8,259.56 = 3,467.00 : x
  2. Step 2: Convert to fraction form
    5,984.84/8,259.56 = 3,467.00/x
  3. Step 3: Cross multiply
    5,984.84x = 8,259.56 × 3,467.00
  4. Step 4: Simplify right side
    5,984.84x = 28,635,835.89
  5. Step 5: Solve for x
    x = 28,635,835.89/5,984.84
  6. Step 6: Final answer
    x = 4,784.73

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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.