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Finding the Fourth Proportional to 4,657, 6,995.48 and 2,926.84

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Solution

The fourth proportional to 4,657, 6,995.48 and 2,926.84 is: 4,396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657 : 6,995.48 = 2,926.84 : x
  2. Step 2: Convert to fraction form
    4,657/6,995.48 = 2,926.84/x
  3. Step 3: Cross multiply
    4,657x = 6,995.48 × 2,926.84
  4. Step 4: Simplify right side
    4,657x = 20,474,650.68
  5. Step 5: Solve for x
    x = 20,474,650.68/4,657
  6. Step 6: Final answer
    x = 4,396.53

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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.