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Finding the Fourth Proportional to 3,646, 5,029.68 and 2,300.98

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Solution

The fourth proportional to 3,646, 5,029.68 and 2,300.98 is: 3,174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646 : 5,029.68 = 2,300.98 : x
  2. Step 2: Convert to fraction form
    3,646/5,029.68 = 2,300.98/x
  3. Step 3: Cross multiply
    3,646x = 5,029.68 × 2,300.98
  4. Step 4: Simplify right side
    3,646x = 11,573,193.09
  5. Step 5: Solve for x
    x = 11,573,193.09/3,646
  6. Step 6: Final answer
    x = 3,174.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.