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Finding the Fourth Proportional to 3,137.88, 4,706.28 and 1,752.60

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Solution

The fourth proportional to 3,137.88, 4,706.28 and 1,752.60 is: 2,628.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.88 : 4,706.28 = 1,752.60 : x
  2. Step 2: Convert to fraction form
    3,137.88/4,706.28 = 1,752.60/x
  3. Step 3: Cross multiply
    3,137.88x = 4,706.28 × 1,752.60
  4. Step 4: Simplify right side
    3,137.88x = 8,248,226.33
  5. Step 5: Solve for x
    x = 8,248,226.33/3,137.88
  6. Step 6: Final answer
    x = 2,628.60

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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.