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Finding the Fourth Proportional to 3,865.06, 5,797.60 and 2,569.06

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Solution

The fourth proportional to 3,865.06, 5,797.60 and 2,569.06 is: 3,853.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.06 : 5,797.60 = 2,569.06 : x
  2. Step 2: Convert to fraction form
    3,865.06/5,797.60 = 2,569.06/x
  3. Step 3: Cross multiply
    3,865.06x = 5,797.60 × 2,569.06
  4. Step 4: Simplify right side
    3,865.06x = 14,894,382.26
  5. Step 5: Solve for x
    x = 14,894,382.26/3,865.06
  6. Step 6: Final answer
    x = 3,853.60

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Why These Related Problems?

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