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Finding the Fourth Proportional to 7,299.90, 10,074.65 and 4,155.75

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Solution

The fourth proportional to 7,299.90, 10,074.65 and 4,155.75 is: 5,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,299.90 : 10,074.65 = 4,155.75 : x
  2. Step 2: Convert to fraction form
    7,299.90/10,074.65 = 4,155.75/x
  3. Step 3: Cross multiply
    7,299.90x = 10,074.65 × 4,155.75
  4. Step 4: Simplify right side
    7,299.90x = 41,867,705.96
  5. Step 5: Solve for x
    x = 41,867,705.96/7,299.90
  6. Step 6: Final answer
    x = 5,735.38

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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.