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Finding the Fourth Proportional to 5,265.62, 7,274.03 and 4,210.39

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Solution

The fourth proportional to 5,265.62, 7,274.03 and 4,210.39 is: 5,816.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.62 : 7,274.03 = 4,210.39 : x
  2. Step 2: Convert to fraction form
    5,265.62/7,274.03 = 4,210.39/x
  3. Step 3: Cross multiply
    5,265.62x = 7,274.03 × 4,210.39
  4. Step 4: Simplify right side
    5,265.62x = 30,626,503.17
  5. Step 5: Solve for x
    x = 30,626,503.17/5,265.62
  6. Step 6: Final answer
    x = 5,816.31

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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.