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Finding the Fourth Proportional to 3,185.16, 4,772.61 and 1,725

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Solution

The fourth proportional to 3,185.16, 4,772.61 and 1,725 is: 2,584.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.16 : 4,772.61 = 1,725 : x
  2. Step 2: Convert to fraction form
    3,185.16/4,772.61 = 1,725/x
  3. Step 3: Cross multiply
    3,185.16x = 4,772.61 × 1,725
  4. Step 4: Simplify right side
    3,185.16x = 8,232,752.25
  5. Step 5: Solve for x
    x = 8,232,752.25/3,185.16
  6. Step 6: Final answer
    x = 2,584.72

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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.