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Finding the Fourth Proportional to 4,999.98, 6,900.01 and 3,011.86

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Solution

The fourth proportional to 4,999.98, 6,900.01 and 3,011.86 is: 4,156.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.98 : 6,900.01 = 3,011.86 : x
  2. Step 2: Convert to fraction form
    4,999.98/6,900.01 = 3,011.86/x
  3. Step 3: Cross multiply
    4,999.98x = 6,900.01 × 3,011.86
  4. Step 4: Simplify right side
    4,999.98x = 20,781,864.12
  5. Step 5: Solve for x
    x = 20,781,864.12/4,999.98
  6. Step 6: Final answer
    x = 4,156.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.