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Finding the Fourth Proportional to 5,876.98, 8,106.96 and 3,637.43

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Solution

The fourth proportional to 5,876.98, 8,106.96 and 3,637.43 is: 5,017.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.98 : 8,106.96 = 3,637.43 : x
  2. Step 2: Convert to fraction form
    5,876.98/8,106.96 = 3,637.43/x
  3. Step 3: Cross multiply
    5,876.98x = 8,106.96 × 3,637.43
  4. Step 4: Simplify right side
    5,876.98x = 29,488,499.51
  5. Step 5: Solve for x
    x = 29,488,499.51/5,876.98
  6. Step 6: Final answer
    x = 5,017.63

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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.