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Finding the Fourth Proportional to 3,557.73, 4,907.63 and 2,065.46

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Solution

The fourth proportional to 3,557.73, 4,907.63 and 2,065.46 is: 2,849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.73 : 4,907.63 = 2,065.46 : x
  2. Step 2: Convert to fraction form
    3,557.73/4,907.63 = 2,065.46/x
  3. Step 3: Cross multiply
    3,557.73x = 4,907.63 × 2,065.46
  4. Step 4: Simplify right side
    3,557.73x = 10,136,517.82
  5. Step 5: Solve for x
    x = 10,136,517.82/3,557.73
  6. Step 6: Final answer
    x = 2,849.15

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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.