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Finding the Fourth Proportional to 5,642.35, 7,783.99 and 3,402.98

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Solution

The fourth proportional to 5,642.35, 7,783.99 and 3,402.98 is: 4,694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.35 : 7,783.99 = 3,402.98 : x
  2. Step 2: Convert to fraction form
    5,642.35/7,783.99 = 3,402.98/x
  3. Step 3: Cross multiply
    5,642.35x = 7,783.99 × 3,402.98
  4. Step 4: Simplify right side
    5,642.35x = 26,488,744.05
  5. Step 5: Solve for x
    x = 26,488,744.05/5,642.35
  6. Step 6: Final answer
    x = 4,694.63

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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.