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Finding the Fourth Proportional to 4,498.46, 6,745.04 and 1,725.34

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Solution

The fourth proportional to 4,498.46, 6,745.04 and 1,725.34 is: 2,586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.46 : 6,745.04 = 1,725.34 : x
  2. Step 2: Convert to fraction form
    4,498.46/6,745.04 = 1,725.34/x
  3. Step 3: Cross multiply
    4,498.46x = 6,745.04 × 1,725.34
  4. Step 4: Simplify right side
    4,498.46x = 11,637,487.31
  5. Step 5: Solve for x
    x = 11,637,487.31/4,498.46
  6. Step 6: Final answer
    x = 2,586.99

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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.