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Finding the Fourth Proportional to 5,614.56, 7,748.56 and 3,097.04

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Solution

The fourth proportional to 5,614.56, 7,748.56 and 3,097.04 is: 4,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.56 : 7,748.56 = 3,097.04 : x
  2. Step 2: Convert to fraction form
    5,614.56/7,748.56 = 3,097.04/x
  3. Step 3: Cross multiply
    5,614.56x = 7,748.56 × 3,097.04
  4. Step 4: Simplify right side
    5,614.56x = 23,997,600.26
  5. Step 5: Solve for x
    x = 23,997,600.26/5,614.56
  6. Step 6: Final answer
    x = 4,274.17

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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.