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Finding the Fourth Proportional to 5,196, 7,172.64 and 3,704.16

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Solution

The fourth proportional to 5,196, 7,172.64 and 3,704.16 is: 5,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196 : 7,172.64 = 3,704.16 : x
  2. Step 2: Convert to fraction form
    5,196/7,172.64 = 3,704.16/x
  3. Step 3: Cross multiply
    5,196x = 7,172.64 × 3,704.16
  4. Step 4: Simplify right side
    5,196x = 26,568,606.18
  5. Step 5: Solve for x
    x = 26,568,606.18/5,196
  6. Step 6: Final answer
    x = 5,113.28

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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.