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Finding the Fourth Proportional to 4,699.76, 7,048.74 and 1,579.82

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Solution

The fourth proportional to 4,699.76, 7,048.74 and 1,579.82 is: 2,369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.76 : 7,048.74 = 1,579.82 : x
  2. Step 2: Convert to fraction form
    4,699.76/7,048.74 = 1,579.82/x
  3. Step 3: Cross multiply
    4,699.76x = 7,048.74 × 1,579.82
  4. Step 4: Simplify right side
    4,699.76x = 11,135,740.43
  5. Step 5: Solve for x
    x = 11,135,740.43/4,699.76
  6. Step 6: Final answer
    x = 2,369.43

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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.