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Finding the Fourth Proportional to 3,804.79, 5,709.08 and 2,569.49

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Solution

The fourth proportional to 3,804.79, 5,709.08 and 2,569.49 is: 3,855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.79 : 5,709.08 = 2,569.49 : x
  2. Step 2: Convert to fraction form
    3,804.79/5,709.08 = 2,569.49/x
  3. Step 3: Cross multiply
    3,804.79x = 5,709.08 × 2,569.49
  4. Step 4: Simplify right side
    3,804.79x = 14,669,411.12
  5. Step 5: Solve for x
    x = 14,669,411.12/3,804.79
  6. Step 6: Final answer
    x = 3,855.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.