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Finding the Fourth Proportional to 5,765.76, 7,955.42 and 4,504.59

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Solution

The fourth proportional to 5,765.76, 7,955.42 and 4,504.59 is: 6,215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.76 : 7,955.42 = 4,504.59 : x
  2. Step 2: Convert to fraction form
    5,765.76/7,955.42 = 4,504.59/x
  3. Step 3: Cross multiply
    5,765.76x = 7,955.42 × 4,504.59
  4. Step 4: Simplify right side
    5,765.76x = 35,835,882.85
  5. Step 5: Solve for x
    x = 35,835,882.85/5,765.76
  6. Step 6: Final answer
    x = 6,215.29

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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.