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Finding the Fourth Proportional to 3,625.65, 5,003.50 and 2,053.74

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Solution

The fourth proportional to 3,625.65, 5,003.50 and 2,053.74 is: 2,834.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.65 : 5,003.50 = 2,053.74 : x
  2. Step 2: Convert to fraction form
    3,625.65/5,003.50 = 2,053.74/x
  3. Step 3: Cross multiply
    3,625.65x = 5,003.50 × 2,053.74
  4. Step 4: Simplify right side
    3,625.65x = 10,275,877.82
  5. Step 5: Solve for x
    x = 10,275,877.82/3,625.65
  6. Step 6: Final answer
    x = 2,834.22

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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.