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Finding the Fourth Proportional to 5,304.98, 7,946.54 and 3,107.05

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Solution

The fourth proportional to 5,304.98, 7,946.54 and 3,107.05 is: 4,654.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.98 : 7,946.54 = 3,107.05 : x
  2. Step 2: Convert to fraction form
    5,304.98/7,946.54 = 3,107.05/x
  3. Step 3: Cross multiply
    5,304.98x = 7,946.54 × 3,107.05
  4. Step 4: Simplify right side
    5,304.98x = 24,690,273.36
  5. Step 5: Solve for x
    x = 24,690,273.36/5,304.98
  6. Step 6: Final answer
    x = 4,654.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.