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Finding the Fourth Proportional to 3,584, 4,946.88 and 2,343.68

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Solution

The fourth proportional to 3,584, 4,946.88 and 2,343.68 is: 3,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584 : 4,946.88 = 2,343.68 : x
  2. Step 2: Convert to fraction form
    3,584/4,946.88 = 2,343.68/x
  3. Step 3: Cross multiply
    3,584x = 4,946.88 × 2,343.68
  4. Step 4: Simplify right side
    3,584x = 11,593,903.72
  5. Step 5: Solve for x
    x = 11,593,903.72/3,584
  6. Step 6: Final answer
    x = 3,234.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.