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Finding the Fourth Proportional to 3,058.37, 4,586.94 and 866.51

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Solution

The fourth proportional to 3,058.37, 4,586.94 and 866.51 is: 1,299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.37 : 4,586.94 = 866.51 : x
  2. Step 2: Convert to fraction form
    3,058.37/4,586.94 = 866.51/x
  3. Step 3: Cross multiply
    3,058.37x = 4,586.94 × 866.51
  4. Step 4: Simplify right side
    3,058.37x = 3,974,606.44
  5. Step 5: Solve for x
    x = 3,974,606.44/3,058.37
  6. Step 6: Final answer
    x = 1,299.59

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1.5x scale

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.