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Finding the Fourth Proportional to 4,596, 6,333.38 and 3,267.40

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Solution

The fourth proportional to 4,596, 6,333.38 and 3,267.40 is: 4,502.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596 : 6,333.38 = 3,267.40 : x
  2. Step 2: Convert to fraction form
    4,596/6,333.38 = 3,267.40/x
  3. Step 3: Cross multiply
    4,596x = 6,333.38 × 3,267.40
  4. Step 4: Simplify right side
    4,596x = 20,693,685.81
  5. Step 5: Solve for x
    x = 20,693,685.81/4,596
  6. Step 6: Final answer
    x = 4,502.54

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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.