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Finding the Fourth Proportional to 5,646.39, 7,795.82 and 3,525.15

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Solution

The fourth proportional to 5,646.39, 7,795.82 and 3,525.15 is: 4,867.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.39 : 7,795.82 = 3,525.15 : x
  2. Step 2: Convert to fraction form
    5,646.39/7,795.82 = 3,525.15/x
  3. Step 3: Cross multiply
    5,646.39x = 7,795.82 × 3,525.15
  4. Step 4: Simplify right side
    5,646.39x = 27,481,378.27
  5. Step 5: Solve for x
    x = 27,481,378.27/5,646.39
  6. Step 6: Final answer
    x = 4,867.07

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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.