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Finding the Fourth Proportional to 3,058.71, 4,588.07 and 867.16

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Solution

The fourth proportional to 3,058.71, 4,588.07 and 867.16 is: 1,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.71 : 4,588.07 = 867.16 : x
  2. Step 2: Convert to fraction form
    3,058.71/4,588.07 = 867.16/x
  3. Step 3: Cross multiply
    3,058.71x = 4,588.07 × 867.16
  4. Step 4: Simplify right side
    3,058.71x = 3,978,568.81
  5. Step 5: Solve for x
    x = 3,978,568.81/3,058.71
  6. Step 6: Final answer
    x = 1,300.73

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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.