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Finding the Fourth Proportional to 4,186.50, 5,777.37 and 2,323.50

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Solution

The fourth proportional to 4,186.50, 5,777.37 and 2,323.50 is: 3,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.50 : 5,777.37 = 2,323.50 : x
  2. Step 2: Convert to fraction form
    4,186.50/5,777.37 = 2,323.50/x
  3. Step 3: Cross multiply
    4,186.50x = 5,777.37 × 2,323.50
  4. Step 4: Simplify right side
    4,186.50x = 13,423,719.20
  5. Step 5: Solve for x
    x = 13,423,719.20/4,186.50
  6. Step 6: Final answer
    x = 3,206.43

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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.