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Finding the Fourth Proportional to 4,102.46, 5,661.32 and 2,423.68

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Solution

The fourth proportional to 4,102.46, 5,661.32 and 2,423.68 is: 3,344.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.46 : 5,661.32 = 2,423.68 : x
  2. Step 2: Convert to fraction form
    4,102.46/5,661.32 = 2,423.68/x
  3. Step 3: Cross multiply
    4,102.46x = 5,661.32 × 2,423.68
  4. Step 4: Simplify right side
    4,102.46x = 13,721,228.06
  5. Step 5: Solve for x
    x = 13,721,228.06/4,102.46
  6. Step 6: Final answer
    x = 3,344.63

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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.