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Finding the Fourth Proportional to 4,986.92, 7,490.10 and 4,063.16

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Solution

The fourth proportional to 4,986.92, 7,490.10 and 4,063.16 is: 6,102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.92 : 7,490.10 = 4,063.16 : x
  2. Step 2: Convert to fraction form
    4,986.92/7,490.10 = 4,063.16/x
  3. Step 3: Cross multiply
    4,986.92x = 7,490.10 × 4,063.16
  4. Step 4: Simplify right side
    4,986.92x = 30,433,474.72
  5. Step 5: Solve for x
    x = 30,433,474.72/4,986.92
  6. Step 6: Final answer
    x = 6,102.66

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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.