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Finding the Fourth Proportional to 4,487.72, 6,730.14 and 1,712.30

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Solution

The fourth proportional to 4,487.72, 6,730.14 and 1,712.30 is: 2,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,487.72 : 6,730.14 = 1,712.30 : x
  2. Step 2: Convert to fraction form
    4,487.72/6,730.14 = 1,712.30/x
  3. Step 3: Cross multiply
    4,487.72x = 6,730.14 × 1,712.30
  4. Step 4: Simplify right side
    4,487.72x = 11,524,018.72
  5. Step 5: Solve for x
    x = 11,524,018.72/4,487.72
  6. Step 6: Final answer
    x = 2,567.90

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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.