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Finding the Fourth Proportional to 5,322.58, 7,346.37 and 3,456.34

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Solution

The fourth proportional to 5,322.58, 7,346.37 and 3,456.34 is: 4,770.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.58 : 7,346.37 = 3,456.34 : x
  2. Step 2: Convert to fraction form
    5,322.58/7,346.37 = 3,456.34/x
  3. Step 3: Cross multiply
    5,322.58x = 7,346.37 × 3,456.34
  4. Step 4: Simplify right side
    5,322.58x = 25,391,552.49
  5. Step 5: Solve for x
    x = 25,391,552.49/5,322.58
  6. Step 6: Final answer
    x = 4,770.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.