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Finding the Fourth Proportional to 5,930.54, 8,897.36 and 1,770.55

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Solution

The fourth proportional to 5,930.54, 8,897.36 and 1,770.55 is: 2,656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.54 : 8,897.36 = 1,770.55 : x
  2. Step 2: Convert to fraction form
    5,930.54/8,897.36 = 1,770.55/x
  3. Step 3: Cross multiply
    5,930.54x = 8,897.36 × 1,770.55
  4. Step 4: Simplify right side
    5,930.54x = 15,753,224.64
  5. Step 5: Solve for x
    x = 15,753,224.64/5,930.54
  6. Step 6: Final answer
    x = 2,656.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.