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Finding the Fourth Proportional to 3,596.42, 5,392.79 and 1,646.95

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Solution

The fourth proportional to 3,596.42, 5,392.79 and 1,646.95 is: 2,469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.42 : 5,392.79 = 1,646.95 : x
  2. Step 2: Convert to fraction form
    3,596.42/5,392.79 = 1,646.95/x
  3. Step 3: Cross multiply
    3,596.42x = 5,392.79 × 1,646.95
  4. Step 4: Simplify right side
    3,596.42x = 8,881,655.49
  5. Step 5: Solve for x
    x = 8,881,655.49/3,596.42
  6. Step 6: Final answer
    x = 2,469.58

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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.