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Finding the Fourth Proportional to 4,704, 6,491.66 and 2,608.26

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Solution

The fourth proportional to 4,704, 6,491.66 and 2,608.26 is: 3,599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704 : 6,491.66 = 2,608.26 : x
  2. Step 2: Convert to fraction form
    4,704/6,491.66 = 2,608.26/x
  3. Step 3: Cross multiply
    4,704x = 6,491.66 × 2,608.26
  4. Step 4: Simplify right side
    4,704x = 16,931,924.07
  5. Step 5: Solve for x
    x = 16,931,924.07/4,704
  6. Step 6: Final answer
    x = 3,599.47

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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.