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Finding the Fourth Proportional to 4,696.68, 6,474.72 and 3,369.96

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Solution

The fourth proportional to 4,696.68, 6,474.72 and 3,369.96 is: 4,645.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.68 : 6,474.72 = 3,369.96 : x
  2. Step 2: Convert to fraction form
    4,696.68/6,474.72 = 3,369.96/x
  3. Step 3: Cross multiply
    4,696.68x = 6,474.72 × 3,369.96
  4. Step 4: Simplify right side
    4,696.68x = 21,819,547.41
  5. Step 5: Solve for x
    x = 21,819,547.41/4,696.68
  6. Step 6: Final answer
    x = 4,645.74

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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.