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Finding the Fourth Proportional to 5,930.99, 8,878.01 and 3,735.10

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Solution

The fourth proportional to 5,930.99, 8,878.01 and 3,735.10 is: 5,591.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.99 : 8,878.01 = 3,735.10 : x
  2. Step 2: Convert to fraction form
    5,930.99/8,878.01 = 3,735.10/x
  3. Step 3: Cross multiply
    5,930.99x = 8,878.01 × 3,735.10
  4. Step 4: Simplify right side
    5,930.99x = 33,160,242.29
  5. Step 5: Solve for x
    x = 33,160,242.29/5,930.99
  6. Step 6: Final answer
    x = 5,591.02

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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.