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Finding the Fourth Proportional to 4,596.48, 6,343.62 and 2,708.66

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Solution

The fourth proportional to 4,596.48, 6,343.62 and 2,708.66 is: 3,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.48 : 6,343.62 = 2,708.66 : x
  2. Step 2: Convert to fraction form
    4,596.48/6,343.62 = 2,708.66/x
  3. Step 3: Cross multiply
    4,596.48x = 6,343.62 × 2,708.66
  4. Step 4: Simplify right side
    4,596.48x = 17,182,667.87
  5. Step 5: Solve for x
    x = 17,182,667.87/4,596.48
  6. Step 6: Final answer
    x = 3,738.22

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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.