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Finding the Fourth Proportional to 5,434, 7,499.30 and 3,076.15

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Solution

The fourth proportional to 5,434, 7,499.30 and 3,076.15 is: 4,245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434 : 7,499.30 = 3,076.15 : x
  2. Step 2: Convert to fraction form
    5,434/7,499.30 = 3,076.15/x
  3. Step 3: Cross multiply
    5,434x = 7,499.30 × 3,076.15
  4. Step 4: Simplify right side
    5,434x = 23,068,971.70
  5. Step 5: Solve for x
    x = 23,068,971.70/5,434
  6. Step 6: Final answer
    x = 4,245.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.