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Finding the Fourth Proportional to 4,653.79, 6,423.92 and 3,082.39

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Solution

The fourth proportional to 4,653.79, 6,423.92 and 3,082.39 is: 4,254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.79 : 6,423.92 = 3,082.39 : x
  2. Step 2: Convert to fraction form
    4,653.79/6,423.92 = 3,082.39/x
  3. Step 3: Cross multiply
    4,653.79x = 6,423.92 × 3,082.39
  4. Step 4: Simplify right side
    4,653.79x = 19,801,026.77
  5. Step 5: Solve for x
    x = 19,801,026.77/4,653.79
  6. Step 6: Final answer
    x = 4,254.82

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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.