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Finding the Fourth Proportional to 5,367.60, 7,406.07 and 3,376.92

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Solution

The fourth proportional to 5,367.60, 7,406.07 and 3,376.92 is: 4,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.60 : 7,406.07 = 3,376.92 : x
  2. Step 2: Convert to fraction form
    5,367.60/7,406.07 = 3,376.92/x
  3. Step 3: Cross multiply
    5,367.60x = 7,406.07 × 3,376.92
  4. Step 4: Simplify right side
    5,367.60x = 25,009,719.64
  5. Step 5: Solve for x
    x = 25,009,719.64/5,367.60
  6. Step 6: Final answer
    x = 4,659.38

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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.