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Finding the Fourth Proportional to 5,609.50, 7,741.14 and 3,125.50

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Solution

The fourth proportional to 5,609.50, 7,741.14 and 3,125.50 is: 4,313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.50 : 7,741.14 = 3,125.50 : x
  2. Step 2: Convert to fraction form
    5,609.50/7,741.14 = 3,125.50/x
  3. Step 3: Cross multiply
    5,609.50x = 7,741.14 × 3,125.50
  4. Step 4: Simplify right side
    5,609.50x = 24,194,933.07
  5. Step 5: Solve for x
    x = 24,194,933.07/5,609.50
  6. Step 6: Final answer
    x = 4,313.21

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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.