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Finding the Fourth Proportional to 3,462.39, 5,189.27 and 1,731.51

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Solution

The fourth proportional to 3,462.39, 5,189.27 and 1,731.51 is: 2,595.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.39 : 5,189.27 = 1,731.51 : x
  2. Step 2: Convert to fraction form
    3,462.39/5,189.27 = 1,731.51/x
  3. Step 3: Cross multiply
    3,462.39x = 5,189.27 × 1,731.51
  4. Step 4: Simplify right side
    3,462.39x = 8,985,264.24
  5. Step 5: Solve for x
    x = 8,985,264.24/3,462.39
  6. Step 6: Final answer
    x = 2,595.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.