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Finding the Fourth Proportional to 5,434.76, 7,500.38 and 3,077.25

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Solution

The fourth proportional to 5,434.76, 7,500.38 and 3,077.25 is: 4,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.76 : 7,500.38 = 3,077.25 : x
  2. Step 2: Convert to fraction form
    5,434.76/7,500.38 = 3,077.25/x
  3. Step 3: Cross multiply
    5,434.76x = 7,500.38 × 3,077.25
  4. Step 4: Simplify right side
    5,434.76x = 23,080,544.36
  5. Step 5: Solve for x
    x = 23,080,544.36/5,434.76
  6. Step 6: Final answer
    x = 4,246.84

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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.