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Finding the Fourth Proportional to 5,850.36, 8,765.64 and 3,537

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Solution

The fourth proportional to 5,850.36, 8,765.64 and 3,537 is: 5,299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850.36 : 8,765.64 = 3,537 : x
  2. Step 2: Convert to fraction form
    5,850.36/8,765.64 = 3,537/x
  3. Step 3: Cross multiply
    5,850.36x = 8,765.64 × 3,537
  4. Step 4: Simplify right side
    5,850.36x = 31,004,068.68
  5. Step 5: Solve for x
    x = 31,004,068.68/5,850.36
  6. Step 6: Final answer
    x = 5,299.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.