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Finding the Fourth Proportional to 5,235.60, 7,856.10 and 2,314.20

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Solution

The fourth proportional to 5,235.60, 7,856.10 and 2,314.20 is: 3,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.60 : 7,856.10 = 2,314.20 : x
  2. Step 2: Convert to fraction form
    5,235.60/7,856.10 = 2,314.20/x
  3. Step 3: Cross multiply
    5,235.60x = 7,856.10 × 2,314.20
  4. Step 4: Simplify right side
    5,235.60x = 18,180,586.62
  5. Step 5: Solve for x
    x = 18,180,586.62/5,235.60
  6. Step 6: Final answer
    x = 3,472.49

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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.