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Finding the Fourth Proportional to 3,787, 5,678.71 and 1,594.51

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Solution

The fourth proportional to 3,787, 5,678.71 and 1,594.51 is: 2,391.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787 : 5,678.71 = 1,594.51 : x
  2. Step 2: Convert to fraction form
    3,787/5,678.71 = 1,594.51/x
  3. Step 3: Cross multiply
    3,787x = 5,678.71 × 1,594.51
  4. Step 4: Simplify right side
    3,787x = 9,054,759.88
  5. Step 5: Solve for x
    x = 9,054,759.88/3,787
  6. Step 6: Final answer
    x = 2,391.01

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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.