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Finding the Fourth Proportional to 5,322.96, 7,277.31 and 5,118.84

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Solution

The fourth proportional to 5,322.96, 7,277.31 and 5,118.84 is: 6,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.96 : 7,277.31 = 5,118.84 : x
  2. Step 2: Convert to fraction form
    5,322.96/7,277.31 = 5,118.84/x
  3. Step 3: Cross multiply
    5,322.96x = 7,277.31 × 5,118.84
  4. Step 4: Simplify right side
    5,322.96x = 37,251,385.52
  5. Step 5: Solve for x
    x = 37,251,385.52/5,322.96
  6. Step 6: Final answer
    x = 6,998.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.