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Finding the Fourth Proportional to 4,596.84, 6,344.01 and 3,849.51

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Solution

The fourth proportional to 4,596.84, 6,344.01 and 3,849.51 is: 5,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.84 : 6,344.01 = 3,849.51 : x
  2. Step 2: Convert to fraction form
    4,596.84/6,344.01 = 3,849.51/x
  3. Step 3: Cross multiply
    4,596.84x = 6,344.01 × 3,849.51
  4. Step 4: Simplify right side
    4,596.84x = 24,421,353.73
  5. Step 5: Solve for x
    x = 24,421,353.73/4,596.84
  6. Step 6: Final answer
    x = 5,312.64

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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.