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Finding the Fourth Proportional to 5,729, 8,594.94 and 1,625

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Solution

The fourth proportional to 5,729, 8,594.94 and 1,625 is: 2,437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729 : 8,594.94 = 1,625 : x
  2. Step 2: Convert to fraction form
    5,729/8,594.94 = 1,625/x
  3. Step 3: Cross multiply
    5,729x = 8,594.94 × 1,625
  4. Step 4: Simplify right side
    5,729x = 13,966,777.50
  5. Step 5: Solve for x
    x = 13,966,777.50/5,729
  6. Step 6: Final answer
    x = 2,437.91

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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.