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Finding the Fourth Proportional to 4,887.56, 7,331.35 and 1,189.80

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Solution

The fourth proportional to 4,887.56, 7,331.35 and 1,189.80 is: 1,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.56 : 7,331.35 = 1,189.80 : x
  2. Step 2: Convert to fraction form
    4,887.56/7,331.35 = 1,189.80/x
  3. Step 3: Cross multiply
    4,887.56x = 7,331.35 × 1,189.80
  4. Step 4: Simplify right side
    4,887.56x = 8,722,840.23
  5. Step 5: Solve for x
    x = 8,722,840.23/4,887.56
  6. Step 6: Final answer
    x = 1,784.70

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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.