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Finding the Fourth Proportional to 3,547, 5,283.04 and 3,361.96

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Solution

The fourth proportional to 3,547, 5,283.04 and 3,361.96 is: 5,007.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547 : 5,283.04 = 3,361.96 : x
  2. Step 2: Convert to fraction form
    3,547/5,283.04 = 3,361.96/x
  3. Step 3: Cross multiply
    3,547x = 5,283.04 × 3,361.96
  4. Step 4: Simplify right side
    3,547x = 17,761,369.16
  5. Step 5: Solve for x
    x = 17,761,369.16/3,547
  6. Step 6: Final answer
    x = 5,007.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.