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Finding the Fourth Proportional to 4,102.69, 5,664.43 and 3,156.81

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Solution

The fourth proportional to 4,102.69, 5,664.43 and 3,156.81 is: 4,358.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.69 : 5,664.43 = 3,156.81 : x
  2. Step 2: Convert to fraction form
    4,102.69/5,664.43 = 3,156.81/x
  3. Step 3: Cross multiply
    4,102.69x = 5,664.43 × 3,156.81
  4. Step 4: Simplify right side
    4,102.69x = 17,881,521.38
  5. Step 5: Solve for x
    x = 17,881,521.38/4,102.69
  6. Step 6: Final answer
    x = 4,358.49

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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.