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Finding the Fourth Proportional to 3,341.82, 4,632.81 and 3,164.06

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Solution

The fourth proportional to 3,341.82, 4,632.81 and 3,164.06 is: 4,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,341.82 : 4,632.81 = 3,164.06 : x
  2. Step 2: Convert to fraction form
    3,341.82/4,632.81 = 3,164.06/x
  3. Step 3: Cross multiply
    3,341.82x = 4,632.81 × 3,164.06
  4. Step 4: Simplify right side
    3,341.82x = 14,658,506.32
  5. Step 5: Solve for x
    x = 14,658,506.32/3,341.82
  6. Step 6: Final answer
    x = 4,386.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.