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Finding the Fourth Proportional to 5,609.80, 7,741.69 and 3,092.07

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Solution

The fourth proportional to 5,609.80, 7,741.69 and 3,092.07 is: 4,267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.80 : 7,741.69 = 3,092.07 : x
  2. Step 2: Convert to fraction form
    5,609.80/7,741.69 = 3,092.07/x
  3. Step 3: Cross multiply
    5,609.80x = 7,741.69 × 3,092.07
  4. Step 4: Simplify right side
    5,609.80x = 23,937,838.77
  5. Step 5: Solve for x
    x = 23,937,838.77/5,609.80
  6. Step 6: Final answer
    x = 4,267.15

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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.