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Finding the Fourth Proportional to 5,614.94, 7,748.50 and 3,097.28

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Solution

The fourth proportional to 5,614.94, 7,748.50 and 3,097.28 is: 4,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.94 : 7,748.50 = 3,097.28 : x
  2. Step 2: Convert to fraction form
    5,614.94/7,748.50 = 3,097.28/x
  3. Step 3: Cross multiply
    5,614.94x = 7,748.50 × 3,097.28
  4. Step 4: Simplify right side
    5,614.94x = 23,999,274.08
  5. Step 5: Solve for x
    x = 23,999,274.08/5,614.94
  6. Step 6: Final answer
    x = 4,274.18

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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.