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Finding the Fourth Proportional to 5,274.18, 7,275.96 and 3,704.40

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Solution

The fourth proportional to 5,274.18, 7,275.96 and 3,704.40 is: 5,110.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.18 : 7,275.96 = 3,704.40 : x
  2. Step 2: Convert to fraction form
    5,274.18/7,275.96 = 3,704.40/x
  3. Step 3: Cross multiply
    5,274.18x = 7,275.96 × 3,704.40
  4. Step 4: Simplify right side
    5,274.18x = 26,953,066.22
  5. Step 5: Solve for x
    x = 26,953,066.22/5,274.18
  6. Step 6: Final answer
    x = 5,110.38

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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.