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Finding the Fourth Proportional to 3,450.98, 4,762.79 and 2,569.29

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Solution

The fourth proportional to 3,450.98, 4,762.79 and 2,569.29 is: 3,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.98 : 4,762.79 = 2,569.29 : x
  2. Step 2: Convert to fraction form
    3,450.98/4,762.79 = 2,569.29/x
  3. Step 3: Cross multiply
    3,450.98x = 4,762.79 × 2,569.29
  4. Step 4: Simplify right side
    3,450.98x = 12,236,975.87
  5. Step 5: Solve for x
    x = 12,236,975.87/3,450.98
  6. Step 6: Final answer
    x = 3,545.95

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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.