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Finding the Fourth Proportional to 3,787.75, 5,681.64 and 1,051.75

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Solution

The fourth proportional to 3,787.75, 5,681.64 and 1,051.75 is: 1,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.75 : 5,681.64 = 1,051.75 : x
  2. Step 2: Convert to fraction form
    3,787.75/5,681.64 = 1,051.75/x
  3. Step 3: Cross multiply
    3,787.75x = 5,681.64 × 1,051.75
  4. Step 4: Simplify right side
    3,787.75x = 5,975,664.87
  5. Step 5: Solve for x
    x = 5,975,664.87/3,787.75
  6. Step 6: Final answer
    x = 1,577.63

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Why These Related Problems?

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