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Finding the Fourth Proportional to 3,059.06, 4,587.90 and 867.28

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Solution

The fourth proportional to 3,059.06, 4,587.90 and 867.28 is: 1,300.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.06 : 4,587.90 = 867.28 : x
  2. Step 2: Convert to fraction form
    3,059.06/4,587.90 = 867.28/x
  3. Step 3: Cross multiply
    3,059.06x = 4,587.90 × 867.28
  4. Step 4: Simplify right side
    3,059.06x = 3,978,993.91
  5. Step 5: Solve for x
    x = 3,978,993.91/3,059.06
  6. Step 6: Final answer
    x = 1,300.72

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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.