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Finding the Fourth Proportional to 3,058.04, 4,586.52 and 866.24

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Solution

The fourth proportional to 3,058.04, 4,586.52 and 866.24 is: 1,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.04 : 4,586.52 = 866.24 : x
  2. Step 2: Convert to fraction form
    3,058.04/4,586.52 = 866.24/x
  3. Step 3: Cross multiply
    3,058.04x = 4,586.52 × 866.24
  4. Step 4: Simplify right side
    3,058.04x = 3,973,027.08
  5. Step 5: Solve for x
    x = 3,973,027.08/3,058.04
  6. Step 6: Final answer
    x = 1,299.21

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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.