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Finding the Fourth Proportional to 3,713.81, 5,125.63 and 2,370.00

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Solution

The fourth proportional to 3,713.81, 5,125.63 and 2,370.00 is: 3,270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.81 : 5,125.63 = 2,370.00 : x
  2. Step 2: Convert to fraction form
    3,713.81/5,125.63 = 2,370.00/x
  3. Step 3: Cross multiply
    3,713.81x = 5,125.63 × 2,370.00
  4. Step 4: Simplify right side
    3,713.81x = 12,147,736.43
  5. Step 5: Solve for x
    x = 12,147,736.43/3,713.81
  6. Step 6: Final answer
    x = 3,270.96

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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.