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Finding the Fourth Proportional to 3,952.05, 5,929.46 and 1,762.32

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Solution

The fourth proportional to 3,952.05, 5,929.46 and 1,762.32 is: 2,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.05 : 5,929.46 = 1,762.32 : x
  2. Step 2: Convert to fraction form
    3,952.05/5,929.46 = 1,762.32/x
  3. Step 3: Cross multiply
    3,952.05x = 5,929.46 × 1,762.32
  4. Step 4: Simplify right side
    3,952.05x = 10,449,597.14
  5. Step 5: Solve for x
    x = 10,449,597.14/3,952.05
  6. Step 6: Final answer
    x = 2,644.10

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1.5x scale

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.