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Finding the Fourth Proportional to 3,735.90, 5,155.28 and 2,223.38

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Solution

The fourth proportional to 3,735.90, 5,155.28 and 2,223.38 is: 3,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.90 : 5,155.28 = 2,223.38 : x
  2. Step 2: Convert to fraction form
    3,735.90/5,155.28 = 2,223.38/x
  3. Step 3: Cross multiply
    3,735.90x = 5,155.28 × 2,223.38
  4. Step 4: Simplify right side
    3,735.90x = 11,462,146.45
  5. Step 5: Solve for x
    x = 11,462,146.45/3,735.90
  6. Step 6: Final answer
    x = 3,068.11

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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.