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Finding the Fourth Proportional to 3,932.37, 5,899.10 and 1,335.51

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Solution

The fourth proportional to 3,932.37, 5,899.10 and 1,335.51 is: 2,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.37 : 5,899.10 = 1,335.51 : x
  2. Step 2: Convert to fraction form
    3,932.37/5,899.10 = 1,335.51/x
  3. Step 3: Cross multiply
    3,932.37x = 5,899.10 × 1,335.51
  4. Step 4: Simplify right side
    3,932.37x = 7,878,300.36
  5. Step 5: Solve for x
    x = 7,878,300.36/3,932.37
  6. Step 6: Final answer
    x = 2,003.45

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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.