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Finding the Fourth Proportional to 5,637.97, 7,783.52 and 3,400.41

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Solution

The fourth proportional to 5,637.97, 7,783.52 and 3,400.41 is: 4,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.97 : 7,783.52 = 3,400.41 : x
  2. Step 2: Convert to fraction form
    5,637.97/7,783.52 = 3,400.41/x
  3. Step 3: Cross multiply
    5,637.97x = 7,783.52 × 3,400.41
  4. Step 4: Simplify right side
    5,637.97x = 26,467,159.24
  5. Step 5: Solve for x
    x = 26,467,159.24/5,637.97
  6. Step 6: Final answer
    x = 4,694.45

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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.