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Finding the Fourth Proportional to 5,609, 7,740.90 and 3,125.48

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Solution

The fourth proportional to 5,609, 7,740.90 and 3,125.48 is: 4,313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609 : 7,740.90 = 3,125.48 : x
  2. Step 2: Convert to fraction form
    5,609/7,740.90 = 3,125.48/x
  3. Step 3: Cross multiply
    5,609x = 7,740.90 × 3,125.48
  4. Step 4: Simplify right side
    5,609x = 24,194,028.13
  5. Step 5: Solve for x
    x = 24,194,028.13/5,609
  6. Step 6: Final answer
    x = 4,313.43

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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.