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Finding the Fourth Proportional to 3,559.86, 5,329.70 and 2,830.50

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Solution

The fourth proportional to 3,559.86, 5,329.70 and 2,830.50 is: 4,237.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.86 : 5,329.70 = 2,830.50 : x
  2. Step 2: Convert to fraction form
    3,559.86/5,329.70 = 2,830.50/x
  3. Step 3: Cross multiply
    3,559.86x = 5,329.70 × 2,830.50
  4. Step 4: Simplify right side
    3,559.86x = 15,085,715.85
  5. Step 5: Solve for x
    x = 15,085,715.85/3,559.86
  6. Step 6: Final answer
    x = 4,237.73

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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.