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Finding the Fourth Proportional to 5,930.07, 8,895 and 1,770.09

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Solution

The fourth proportional to 5,930.07, 8,895 and 1,770.09 is: 2,655.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.07 : 8,895 = 1,770.09 : x
  2. Step 2: Convert to fraction form
    5,930.07/8,895 = 1,770.09/x
  3. Step 3: Cross multiply
    5,930.07x = 8,895 × 1,770.09
  4. Step 4: Simplify right side
    5,930.07x = 15,744,950.55
  5. Step 5: Solve for x
    x = 15,744,950.55/5,930.07
  6. Step 6: Final answer
    x = 2,655.10

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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.