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Finding the Fourth Proportional to 4,096.69, 5,653.43 and 2,328.63

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Solution

The fourth proportional to 4,096.69, 5,653.43 and 2,328.63 is: 3,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.69 : 5,653.43 = 2,328.63 : x
  2. Step 2: Convert to fraction form
    4,096.69/5,653.43 = 2,328.63/x
  3. Step 3: Cross multiply
    4,096.69x = 5,653.43 × 2,328.63
  4. Step 4: Simplify right side
    4,096.69x = 13,164,746.70
  5. Step 5: Solve for x
    x = 13,164,746.70/4,096.69
  6. Step 6: Final answer
    x = 3,213.51

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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.