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Finding the Fourth Proportional to 4,176.42, 5,763.39 and 2,313.42

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Solution

The fourth proportional to 4,176.42, 5,763.39 and 2,313.42 is: 3,192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.42 : 5,763.39 = 2,313.42 : x
  2. Step 2: Convert to fraction form
    4,176.42/5,763.39 = 2,313.42/x
  3. Step 3: Cross multiply
    4,176.42x = 5,763.39 × 2,313.42
  4. Step 4: Simplify right side
    4,176.42x = 13,333,141.69
  5. Step 5: Solve for x
    x = 13,333,141.69/4,176.42
  6. Step 6: Final answer
    x = 3,192.48

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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.