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Finding the Fourth Proportional to 4,696.47, 7,043.67 and 1,920.39

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Solution

The fourth proportional to 4,696.47, 7,043.67 and 1,920.39 is: 2,880.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.47 : 7,043.67 = 1,920.39 : x
  2. Step 2: Convert to fraction form
    4,696.47/7,043.67 = 1,920.39/x
  3. Step 3: Cross multiply
    4,696.47x = 7,043.67 × 1,920.39
  4. Step 4: Simplify right side
    4,696.47x = 13,526,593.43
  5. Step 5: Solve for x
    x = 13,526,593.43/4,696.47
  6. Step 6: Final answer
    x = 2,880.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.