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Finding the Fourth Proportional to 5,758.92, 8,638.34 and 4,976.53

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Solution

The fourth proportional to 5,758.92, 8,638.34 and 4,976.53 is: 7,464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.92 : 8,638.34 = 4,976.53 : x
  2. Step 2: Convert to fraction form
    5,758.92/8,638.34 = 4,976.53/x
  3. Step 3: Cross multiply
    5,758.92x = 8,638.34 × 4,976.53
  4. Step 4: Simplify right side
    5,758.92x = 42,988,911.68
  5. Step 5: Solve for x
    x = 42,988,911.68/5,758.92
  6. Step 6: Final answer
    x = 7,464.75

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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.