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Finding the Fourth Proportional to 3,907.72, 5,392.74 and 2,335.24

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Solution

The fourth proportional to 3,907.72, 5,392.74 and 2,335.24 is: 3,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.72 : 5,392.74 = 2,335.24 : x
  2. Step 2: Convert to fraction form
    3,907.72/5,392.74 = 2,335.24/x
  3. Step 3: Cross multiply
    3,907.72x = 5,392.74 × 2,335.24
  4. Step 4: Simplify right side
    3,907.72x = 12,593,342.16
  5. Step 5: Solve for x
    x = 12,593,342.16/3,907.72
  6. Step 6: Final answer
    x = 3,222.68

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1.5x scale

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.