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Finding the Fourth Proportional to 3,675.84, 5,074.11 and 2,557.43

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Solution

The fourth proportional to 3,675.84, 5,074.11 and 2,557.43 is: 3,530.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.84 : 5,074.11 = 2,557.43 : x
  2. Step 2: Convert to fraction form
    3,675.84/5,074.11 = 2,557.43/x
  3. Step 3: Cross multiply
    3,675.84x = 5,074.11 × 2,557.43
  4. Step 4: Simplify right side
    3,675.84x = 12,976,681.14
  5. Step 5: Solve for x
    x = 12,976,681.14/3,675.84
  6. Step 6: Final answer
    x = 3,530.26

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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.