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Finding the Fourth Proportional to 3,158.70, 4,357.79 and 1,832.16

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Solution

The fourth proportional to 3,158.70, 4,357.79 and 1,832.16 is: 2,527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.70 : 4,357.79 = 1,832.16 : x
  2. Step 2: Convert to fraction form
    3,158.70/4,357.79 = 1,832.16/x
  3. Step 3: Cross multiply
    3,158.70x = 4,357.79 × 1,832.16
  4. Step 4: Simplify right side
    3,158.70x = 7,984,159.37
  5. Step 5: Solve for x
    x = 7,984,159.37/3,158.70
  6. Step 6: Final answer
    x = 2,527.67

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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.