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Finding the Fourth Proportional to 4,904.88, 6,768.86 and 2,666.90

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Solution

The fourth proportional to 4,904.88, 6,768.86 and 2,666.90 is: 3,680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.88 : 6,768.86 = 2,666.90 : x
  2. Step 2: Convert to fraction form
    4,904.88/6,768.86 = 2,666.90/x
  3. Step 3: Cross multiply
    4,904.88x = 6,768.86 × 2,666.90
  4. Step 4: Simplify right side
    4,904.88x = 18,051,859.40
  5. Step 5: Solve for x
    x = 18,051,859.40/4,904.88
  6. Step 6: Final answer
    x = 3,680.39

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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.