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Finding the Fourth Proportional to 4,190.62, 5,782.95 and 2,327.50

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Solution

The fourth proportional to 4,190.62, 5,782.95 and 2,327.50 is: 3,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.62 : 5,782.95 = 2,327.50 : x
  2. Step 2: Convert to fraction form
    4,190.62/5,782.95 = 2,327.50/x
  3. Step 3: Cross multiply
    4,190.62x = 5,782.95 × 2,327.50
  4. Step 4: Simplify right side
    4,190.62x = 13,459,816.13
  5. Step 5: Solve for x
    x = 13,459,816.13/4,190.62
  6. Step 6: Final answer
    x = 3,211.89

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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.