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Finding the Fourth Proportional to 5,776.65, 7,965.37 and 4,180.14

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Solution

The fourth proportional to 5,776.65, 7,965.37 and 4,180.14 is: 5,763.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.65 : 7,965.37 = 4,180.14 : x
  2. Step 2: Convert to fraction form
    5,776.65/7,965.37 = 4,180.14/x
  3. Step 3: Cross multiply
    5,776.65x = 7,965.37 × 4,180.14
  4. Step 4: Simplify right side
    5,776.65x = 33,296,366.98
  5. Step 5: Solve for x
    x = 33,296,366.98/5,776.65
  6. Step 6: Final answer
    x = 5,763.96

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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.