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Finding the Fourth Proportional to 4,684, 7,022.76 and 2,835.58

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Solution

The fourth proportional to 4,684, 7,022.76 and 2,835.58 is: 4,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684 : 7,022.76 = 2,835.58 : x
  2. Step 2: Convert to fraction form
    4,684/7,022.76 = 2,835.58/x
  3. Step 3: Cross multiply
    4,684x = 7,022.76 × 2,835.58
  4. Step 4: Simplify right side
    4,684x = 19,913,597.80
  5. Step 5: Solve for x
    x = 19,913,597.80/4,684
  6. Step 6: Final answer
    x = 4,251.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.