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Finding the Fourth Proportional to 3,932.36, 5,900.47 and 1,852.57

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Solution

The fourth proportional to 3,932.36, 5,900.47 and 1,852.57 is: 2,779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.36 : 5,900.47 = 1,852.57 : x
  2. Step 2: Convert to fraction form
    3,932.36/5,900.47 = 1,852.57/x
  3. Step 3: Cross multiply
    3,932.36x = 5,900.47 × 1,852.57
  4. Step 4: Simplify right side
    3,932.36x = 10,931,033.71
  5. Step 5: Solve for x
    x = 10,931,033.71/3,932.36
  6. Step 6: Final answer
    x = 2,779.76

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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.