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Finding the Fourth Proportional to 5,751, 8,625.64 and 1,854.88

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Solution

The fourth proportional to 5,751, 8,625.64 and 1,854.88 is: 2,782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751 : 8,625.64 = 1,854.88 : x
  2. Step 2: Convert to fraction form
    5,751/8,625.64 = 1,854.88/x
  3. Step 3: Cross multiply
    5,751x = 8,625.64 × 1,854.88
  4. Step 4: Simplify right side
    5,751x = 15,999,527.12
  5. Step 5: Solve for x
    x = 15,999,527.12/5,751
  6. Step 6: Final answer
    x = 2,782.04

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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.