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Finding the Fourth Proportional to 5,847.59, 8,771.37 and 1,952.00

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Solution

The fourth proportional to 5,847.59, 8,771.37 and 1,952.00 is: 2,927.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.59 : 8,771.37 = 1,952.00 : x
  2. Step 2: Convert to fraction form
    5,847.59/8,771.37 = 1,952.00/x
  3. Step 3: Cross multiply
    5,847.59x = 8,771.37 × 1,952.00
  4. Step 4: Simplify right side
    5,847.59x = 17,121,670.38
  5. Step 5: Solve for x
    x = 17,121,670.38/5,847.59
  6. Step 6: Final answer
    x = 2,927.99

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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.