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Finding the Fourth Proportional to 4,096.51, 5,653.34 and 2,328.42

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Solution

The fourth proportional to 4,096.51, 5,653.34 and 2,328.42 is: 3,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.51 : 5,653.34 = 2,328.42 : x
  2. Step 2: Convert to fraction form
    4,096.51/5,653.34 = 2,328.42/x
  3. Step 3: Cross multiply
    4,096.51x = 5,653.34 × 2,328.42
  4. Step 4: Simplify right side
    4,096.51x = 13,163,349.92
  5. Step 5: Solve for x
    x = 13,163,349.92/4,096.51
  6. Step 6: Final answer
    x = 3,213.31

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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.