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Finding the Fourth Proportional to 4,096.81, 5,653.18 and 2,328.07

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Solution

The fourth proportional to 4,096.81, 5,653.18 and 2,328.07 is: 3,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.81 : 5,653.18 = 2,328.07 : x
  2. Step 2: Convert to fraction form
    4,096.81/5,653.18 = 2,328.07/x
  3. Step 3: Cross multiply
    4,096.81x = 5,653.18 × 2,328.07
  4. Step 4: Simplify right side
    4,096.81x = 13,160,998.76
  5. Step 5: Solve for x
    x = 13,160,998.76/4,096.81
  6. Step 6: Final answer
    x = 3,212.50

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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.