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Finding the Fourth Proportional to 5,396.88, 7,443.72 and 4,070.64

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Solution

The fourth proportional to 5,396.88, 7,443.72 and 4,070.64 is: 5,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.88 : 7,443.72 = 4,070.64 : x
  2. Step 2: Convert to fraction form
    5,396.88/7,443.72 = 4,070.64/x
  3. Step 3: Cross multiply
    5,396.88x = 7,443.72 × 4,070.64
  4. Step 4: Simplify right side
    5,396.88x = 30,300,704.38
  5. Step 5: Solve for x
    x = 30,300,704.38/5,396.88
  6. Step 6: Final answer
    x = 5,614.49

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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.