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Finding the Fourth Proportional to 3,856.70, 5,780.55 and 2,214.80

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Solution

The fourth proportional to 3,856.70, 5,780.55 and 2,214.80 is: 3,319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.70 : 5,780.55 = 2,214.80 : x
  2. Step 2: Convert to fraction form
    3,856.70/5,780.55 = 2,214.80/x
  3. Step 3: Cross multiply
    3,856.70x = 5,780.55 × 2,214.80
  4. Step 4: Simplify right side
    3,856.70x = 12,802,762.14
  5. Step 5: Solve for x
    x = 12,802,762.14/3,856.70
  6. Step 6: Final answer
    x = 3,319.62

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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.