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Finding the Fourth Proportional to 5,349.72, 7,381.08 and 3,080.64

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Solution

The fourth proportional to 5,349.72, 7,381.08 and 3,080.64 is: 4,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.72 : 7,381.08 = 3,080.64 : x
  2. Step 2: Convert to fraction form
    5,349.72/7,381.08 = 3,080.64/x
  3. Step 3: Cross multiply
    5,349.72x = 7,381.08 × 3,080.64
  4. Step 4: Simplify right side
    5,349.72x = 22,738,450.29
  5. Step 5: Solve for x
    x = 22,738,450.29/5,349.72
  6. Step 6: Final answer
    x = 4,250.40

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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.