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Finding the Fourth Proportional to 4,450, 6,141 and 2,587

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Solution

The fourth proportional to 4,450, 6,141 and 2,587 is: 3,570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,450 : 6,141 = 2,587 : x
  2. Step 2: Convert to fraction form
    4,450/6,141 = 2,587/x
  3. Step 3: Cross multiply
    4,450x = 6,141 × 2,587
  4. Step 4: Simplify right side
    4,450x = 15,886,767
  5. Step 5: Solve for x
    x = 15,886,767/4,450
  6. Step 6: Final answer
    x = 3,570.06

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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.