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Finding the Fourth Proportional to 5,365.70, 8,048.55 and 3,176.90

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Solution

The fourth proportional to 5,365.70, 8,048.55 and 3,176.90 is: 4,765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.70 : 8,048.55 = 3,176.90 : x
  2. Step 2: Convert to fraction form
    5,365.70/8,048.55 = 3,176.90/x
  3. Step 3: Cross multiply
    5,365.70x = 8,048.55 × 3,176.90
  4. Step 4: Simplify right side
    5,365.70x = 25,569,438.50
  5. Step 5: Solve for x
    x = 25,569,438.50/5,365.70
  6. Step 6: Final answer
    x = 4,765.35

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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.