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Finding the Fourth Proportional to 3,735.90, 5,156.00 and 2,244.60

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Solution

The fourth proportional to 3,735.90, 5,156.00 and 2,244.60 is: 3,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.90 : 5,156.00 = 2,244.60 : x
  2. Step 2: Convert to fraction form
    3,735.90/5,156.00 = 2,244.60/x
  3. Step 3: Cross multiply
    3,735.90x = 5,156.00 × 2,244.60
  4. Step 4: Simplify right side
    3,735.90x = 11,573,146.38
  5. Step 5: Solve for x
    x = 11,573,146.38/3,735.90
  6. Step 6: Final answer
    x = 3,097.82

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Why These Related Problems?

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