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Finding the Fourth Proportional to 4,704, 6,491.56 and 2,579.46

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Solution

The fourth proportional to 4,704, 6,491.56 and 2,579.46 is: 3,559.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704 : 6,491.56 = 2,579.46 : x
  2. Step 2: Convert to fraction form
    4,704/6,491.56 = 2,579.46/x
  3. Step 3: Cross multiply
    4,704x = 6,491.56 × 2,579.46
  4. Step 4: Simplify right side
    4,704x = 16,744,719.36
  5. Step 5: Solve for x
    x = 16,744,719.36/4,704
  6. Step 6: Final answer
    x = 3,559.68

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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.