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Finding the Fourth Proportional to 4,596.60, 6,343.50 and 2,709.48

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Solution

The fourth proportional to 4,596.60, 6,343.50 and 2,709.48 is: 3,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.60 : 6,343.50 = 2,709.48 : x
  2. Step 2: Convert to fraction form
    4,596.60/6,343.50 = 2,709.48/x
  3. Step 3: Cross multiply
    4,596.60x = 6,343.50 × 2,709.48
  4. Step 4: Simplify right side
    4,596.60x = 17,187,586.38
  5. Step 5: Solve for x
    x = 17,187,586.38/4,596.60
  6. Step 6: Final answer
    x = 3,739.20

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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.