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Finding the Fourth Proportional to 5,384.80, 7,430.78 and 3,146.88

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Solution

The fourth proportional to 5,384.80, 7,430.78 and 3,146.88 is: 4,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.80 : 7,430.78 = 3,146.88 : x
  2. Step 2: Convert to fraction form
    5,384.80/7,430.78 = 3,146.88/x
  3. Step 3: Cross multiply
    5,384.80x = 7,430.78 × 3,146.88
  4. Step 4: Simplify right side
    5,384.80x = 23,383,772.97
  5. Step 5: Solve for x
    x = 23,383,772.97/5,384.80
  6. Step 6: Final answer
    x = 4,342.55

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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.