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Finding the Fourth Proportional to 3,809.32, 5,256.58 and 2,569

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Solution

The fourth proportional to 3,809.32, 5,256.58 and 2,569 is: 3,545.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.32 : 5,256.58 = 2,569 : x
  2. Step 2: Convert to fraction form
    3,809.32/5,256.58 = 2,569/x
  3. Step 3: Cross multiply
    3,809.32x = 5,256.58 × 2,569
  4. Step 4: Simplify right side
    3,809.32x = 13,504,154.02
  5. Step 5: Solve for x
    x = 13,504,154.02/3,809.32
  6. Step 6: Final answer
    x = 3,545.03

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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.