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Finding the Fourth Proportional to 4,689.37, 7,031.73 and 1,727.68

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Solution

The fourth proportional to 4,689.37, 7,031.73 and 1,727.68 is: 2,590.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.37 : 7,031.73 = 1,727.68 : x
  2. Step 2: Convert to fraction form
    4,689.37/7,031.73 = 1,727.68/x
  3. Step 3: Cross multiply
    4,689.37x = 7,031.73 × 1,727.68
  4. Step 4: Simplify right side
    4,689.37x = 12,148,579.29
  5. Step 5: Solve for x
    x = 12,148,579.29/4,689.37
  6. Step 6: Final answer
    x = 2,590.66

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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.