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Finding the Fourth Proportional to 4,604.76, 6,907.14 and 2,005.88

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Solution

The fourth proportional to 4,604.76, 6,907.14 and 2,005.88 is: 3,008.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.76 : 6,907.14 = 2,005.88 : x
  2. Step 2: Convert to fraction form
    4,604.76/6,907.14 = 2,005.88/x
  3. Step 3: Cross multiply
    4,604.76x = 6,907.14 × 2,005.88
  4. Step 4: Simplify right side
    4,604.76x = 13,854,859.45
  5. Step 5: Solve for x
    x = 13,854,859.45/4,604.76
  6. Step 6: Final answer
    x = 3,008.81

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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.