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Finding the Fourth Proportional to 3,624.81, 4,964.76 and 3,412.04

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Solution

The fourth proportional to 3,624.81, 4,964.76 and 3,412.04 is: 4,673.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.81 : 4,964.76 = 3,412.04 : x
  2. Step 2: Convert to fraction form
    3,624.81/4,964.76 = 3,412.04/x
  3. Step 3: Cross multiply
    3,624.81x = 4,964.76 × 3,412.04
  4. Step 4: Simplify right side
    3,624.81x = 16,939,934.89
  5. Step 5: Solve for x
    x = 16,939,934.89/3,624.81
  6. Step 6: Final answer
    x = 4,673.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.