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Finding the Fourth Proportional to 2,639.57, 3,647.41 and 2,511.45

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Solution

The fourth proportional to 2,639.57, 3,647.41 and 2,511.45 is: 3,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.57 : 3,647.41 = 2,511.45 : x
  2. Step 2: Convert to fraction form
    2,639.57/3,647.41 = 2,511.45/x
  3. Step 3: Cross multiply
    2,639.57x = 3,647.41 × 2,511.45
  4. Step 4: Simplify right side
    2,639.57x = 9,160,281.57
  5. Step 5: Solve for x
    x = 9,160,281.57/2,639.57
  6. Step 6: Final answer
    x = 3,470.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.