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Finding the Fourth Proportional to 5,311.66, 7,970.73 and 3,338.50

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Solution

The fourth proportional to 5,311.66, 7,970.73 and 3,338.50 is: 5,009.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.66 : 7,970.73 = 3,338.50 : x
  2. Step 2: Convert to fraction form
    5,311.66/7,970.73 = 3,338.50/x
  3. Step 3: Cross multiply
    5,311.66x = 7,970.73 × 3,338.50
  4. Step 4: Simplify right side
    5,311.66x = 26,610,282.11
  5. Step 5: Solve for x
    x = 26,610,282.11/5,311.66
  6. Step 6: Final answer
    x = 5,009.79

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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.