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Finding the Fourth Proportional to 3,607.09, 5,411.74 and 1,757.94

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Solution

The fourth proportional to 3,607.09, 5,411.74 and 1,757.94 is: 2,637.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.09 : 5,411.74 = 1,757.94 : x
  2. Step 2: Convert to fraction form
    3,607.09/5,411.74 = 1,757.94/x
  3. Step 3: Cross multiply
    3,607.09x = 5,411.74 × 1,757.94
  4. Step 4: Simplify right side
    3,607.09x = 9,513,505.43
  5. Step 5: Solve for x
    x = 9,513,505.43/3,607.09
  6. Step 6: Final answer
    x = 2,637.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.