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Finding the Fourth Proportional to 5,930.34, 8,901 and 3,010.74

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Solution

The fourth proportional to 5,930.34, 8,901 and 3,010.74 is: 4,518.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.34 : 8,901 = 3,010.74 : x
  2. Step 2: Convert to fraction form
    5,930.34/8,901 = 3,010.74/x
  3. Step 3: Cross multiply
    5,930.34x = 8,901 × 3,010.74
  4. Step 4: Simplify right side
    5,930.34x = 26,798,596.74
  5. Step 5: Solve for x
    x = 26,798,596.74/5,930.34
  6. Step 6: Final answer
    x = 4,518.90

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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.