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Finding the Fourth Proportional to 5,757.48, 8,630.46 and 4,905

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Solution

The fourth proportional to 5,757.48, 8,630.46 and 4,905 is: 7,352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.48 : 8,630.46 = 4,905 : x
  2. Step 2: Convert to fraction form
    5,757.48/8,630.46 = 4,905/x
  3. Step 3: Cross multiply
    5,757.48x = 8,630.46 × 4,905
  4. Step 4: Simplify right side
    5,757.48x = 42,332,406.30
  5. Step 5: Solve for x
    x = 42,332,406.30/5,757.48
  6. Step 6: Final answer
    x = 7,352.59

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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.