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Finding the Fourth Proportional to 4,685.54, 6,465.87 and 2,696.74

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Solution

The fourth proportional to 4,685.54, 6,465.87 and 2,696.74 is: 3,721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.54 : 6,465.87 = 2,696.74 : x
  2. Step 2: Convert to fraction form
    4,685.54/6,465.87 = 2,696.74/x
  3. Step 3: Cross multiply
    4,685.54x = 6,465.87 × 2,696.74
  4. Step 4: Simplify right side
    4,685.54x = 17,436,724.45
  5. Step 5: Solve for x
    x = 17,436,724.45/4,685.54
  6. Step 6: Final answer
    x = 3,721.39

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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.