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Finding the Fourth Proportional to 5,941.68, 8,194.08 and 5,102.08

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Solution

The fourth proportional to 5,941.68, 8,194.08 and 5,102.08 is: 7,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.68 : 8,194.08 = 5,102.08 : x
  2. Step 2: Convert to fraction form
    5,941.68/8,194.08 = 5,102.08/x
  3. Step 3: Cross multiply
    5,941.68x = 8,194.08 × 5,102.08
  4. Step 4: Simplify right side
    5,941.68x = 41,806,851.69
  5. Step 5: Solve for x
    x = 41,806,851.69/5,941.68
  6. Step 6: Final answer
    x = 7,036.20

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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.