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Finding the Fourth Proportional to 4,141.70, 5,715.60 and 2,253.30

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Solution

The fourth proportional to 4,141.70, 5,715.60 and 2,253.30 is: 3,109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.70 : 5,715.60 = 2,253.30 : x
  2. Step 2: Convert to fraction form
    4,141.70/5,715.60 = 2,253.30/x
  3. Step 3: Cross multiply
    4,141.70x = 5,715.60 × 2,253.30
  4. Step 4: Simplify right side
    4,141.70x = 12,878,961.48
  5. Step 5: Solve for x
    x = 12,878,961.48/4,141.70
  6. Step 6: Final answer
    x = 3,109.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.