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Finding the Fourth Proportional to 3,925.54, 5,888.49 and 1,734.28

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Solution

The fourth proportional to 3,925.54, 5,888.49 and 1,734.28 is: 2,601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.54 : 5,888.49 = 1,734.28 : x
  2. Step 2: Convert to fraction form
    3,925.54/5,888.49 = 1,734.28/x
  3. Step 3: Cross multiply
    3,925.54x = 5,888.49 × 1,734.28
  4. Step 4: Simplify right side
    3,925.54x = 10,212,290.44
  5. Step 5: Solve for x
    x = 10,212,290.44/3,925.54
  6. Step 6: Final answer
    x = 2,601.50

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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.