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Finding the Fourth Proportional to 4,685.84, 6,467.10 and 2,696.36

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Solution

The fourth proportional to 4,685.84, 6,467.10 and 2,696.36 is: 3,721.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.84 : 6,467.10 = 2,696.36 : x
  2. Step 2: Convert to fraction form
    4,685.84/6,467.10 = 2,696.36/x
  3. Step 3: Cross multiply
    4,685.84x = 6,467.10 × 2,696.36
  4. Step 4: Simplify right side
    4,685.84x = 17,437,597.42
  5. Step 5: Solve for x
    x = 17,437,597.42/4,685.84
  6. Step 6: Final answer
    x = 3,721.34

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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.