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Finding the Fourth Proportional to 4,331.86, 5,977.86 and 2,563.50

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Solution

The fourth proportional to 4,331.86, 5,977.86 and 2,563.50 is: 3,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,331.86 : 5,977.86 = 2,563.50 : x
  2. Step 2: Convert to fraction form
    4,331.86/5,977.86 = 2,563.50/x
  3. Step 3: Cross multiply
    4,331.86x = 5,977.86 × 2,563.50
  4. Step 4: Simplify right side
    4,331.86x = 15,324,244.11
  5. Step 5: Solve for x
    x = 15,324,244.11/4,331.86
  6. Step 6: Final answer
    x = 3,537.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.