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Finding the Fourth Proportional to 3,787.15, 5,681.63 and 1,288.50

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Solution

The fourth proportional to 3,787.15, 5,681.63 and 1,288.50 is: 1,933.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.15 : 5,681.63 = 1,288.50 : x
  2. Step 2: Convert to fraction form
    3,787.15/5,681.63 = 1,288.50/x
  3. Step 3: Cross multiply
    3,787.15x = 5,681.63 × 1,288.50
  4. Step 4: Simplify right side
    3,787.15x = 7,320,780.26
  5. Step 5: Solve for x
    x = 7,320,780.26/3,787.15
  6. Step 6: Final answer
    x = 1,933.06

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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.