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Finding the Fourth Proportional to 2,569.84, 3,847.42 and 2,365.72

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Solution

The fourth proportional to 2,569.84, 3,847.42 and 2,365.72 is: 3,541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.84 : 3,847.42 = 2,365.72 : x
  2. Step 2: Convert to fraction form
    2,569.84/3,847.42 = 2,365.72/x
  3. Step 3: Cross multiply
    2,569.84x = 3,847.42 × 2,365.72
  4. Step 4: Simplify right side
    2,569.84x = 9,101,918.44
  5. Step 5: Solve for x
    x = 9,101,918.44/2,569.84
  6. Step 6: Final answer
    x = 3,541.82

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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.