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Finding the Fourth Proportional to 5,231.85, 7,810.14 and 4,483.41

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Solution

The fourth proportional to 5,231.85, 7,810.14 and 4,483.41 is: 6,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.85 : 7,810.14 = 4,483.41 : x
  2. Step 2: Convert to fraction form
    5,231.85/7,810.14 = 4,483.41/x
  3. Step 3: Cross multiply
    5,231.85x = 7,810.14 × 4,483.41
  4. Step 4: Simplify right side
    5,231.85x = 35,016,059.78
  5. Step 5: Solve for x
    x = 35,016,059.78/5,231.85
  6. Step 6: Final answer
    x = 6,692.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.