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Finding the Fourth Proportional to 5,660.35, 7,809.41 and 3,421.37

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Solution

The fourth proportional to 5,660.35, 7,809.41 and 3,421.37 is: 4,720.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.35 : 7,809.41 = 3,421.37 : x
  2. Step 2: Convert to fraction form
    5,660.35/7,809.41 = 3,421.37/x
  3. Step 3: Cross multiply
    5,660.35x = 7,809.41 × 3,421.37
  4. Step 4: Simplify right side
    5,660.35x = 26,718,909.17
  5. Step 5: Solve for x
    x = 26,718,909.17/5,660.35
  6. Step 6: Final answer
    x = 4,720.37

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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.