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Finding the Fourth Proportional to 5,964.80, 8,930.18 and 4,734

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Solution

The fourth proportional to 5,964.80, 8,930.18 and 4,734 is: 7,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.80 : 8,930.18 = 4,734 : x
  2. Step 2: Convert to fraction form
    5,964.80/8,930.18 = 4,734/x
  3. Step 3: Cross multiply
    5,964.80x = 8,930.18 × 4,734
  4. Step 4: Simplify right side
    5,964.80x = 42,275,483.96
  5. Step 5: Solve for x
    x = 42,275,483.96/5,964.80
  6. Step 6: Final answer
    x = 7,087.50

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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.