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Finding the Fourth Proportional to 3,355.61, 5,033.41 and 856.80

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Solution

The fourth proportional to 3,355.61, 5,033.41 and 856.80 is: 1,285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355.61 : 5,033.41 = 856.80 : x
  2. Step 2: Convert to fraction form
    3,355.61/5,033.41 = 856.80/x
  3. Step 3: Cross multiply
    3,355.61x = 5,033.41 × 856.80
  4. Step 4: Simplify right side
    3,355.61x = 4,312,596.24
  5. Step 5: Solve for x
    x = 4,312,596.24/3,355.61
  6. Step 6: Final answer
    x = 1,285.19

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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.