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Finding the Fourth Proportional to 5,321.88, 7,983.90 and 1,858.68

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Solution

The fourth proportional to 5,321.88, 7,983.90 and 1,858.68 is: 2,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.88 : 7,983.90 = 1,858.68 : x
  2. Step 2: Convert to fraction form
    5,321.88/7,983.90 = 1,858.68/x
  3. Step 3: Cross multiply
    5,321.88x = 7,983.90 × 1,858.68
  4. Step 4: Simplify right side
    5,321.88x = 14,839,515.25
  5. Step 5: Solve for x
    x = 14,839,515.25/5,321.88
  6. Step 6: Final answer
    x = 2,788.40

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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.