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Finding the Fourth Proportional to 5,984.61, 8,968.99 and 4,592.63

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Solution

The fourth proportional to 5,984.61, 8,968.99 and 4,592.63 is: 6,882.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.61 : 8,968.99 = 4,592.63 : x
  2. Step 2: Convert to fraction form
    5,984.61/8,968.99 = 4,592.63/x
  3. Step 3: Cross multiply
    5,984.61x = 8,968.99 × 4,592.63
  4. Step 4: Simplify right side
    5,984.61x = 41,191,252.54
  5. Step 5: Solve for x
    x = 41,191,252.54/5,984.61
  6. Step 6: Final answer
    x = 6,882.86

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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.