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Finding the Fourth Proportional to 5,827.50, 8,741.25 and 2,495.25

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Solution

The fourth proportional to 5,827.50, 8,741.25 and 2,495.25 is: 3,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.50 : 8,741.25 = 2,495.25 : x
  2. Step 2: Convert to fraction form
    5,827.50/8,741.25 = 2,495.25/x
  3. Step 3: Cross multiply
    5,827.50x = 8,741.25 × 2,495.25
  4. Step 4: Simplify right side
    5,827.50x = 21,811,604.06
  5. Step 5: Solve for x
    x = 21,811,604.06/5,827.50
  6. Step 6: Final answer
    x = 3,742.88

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1.5x scale

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.