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Finding the Fourth Proportional to 3,234.60, 4,423.32 and 3,234.60

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Solution

The fourth proportional to 3,234.60, 4,423.32 and 3,234.60 is: 4,423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.60 : 4,423.32 = 3,234.60 : x
  2. Step 2: Convert to fraction form
    3,234.60/4,423.32 = 3,234.60/x
  3. Step 3: Cross multiply
    3,234.60x = 4,423.32 × 3,234.60
  4. Step 4: Simplify right side
    3,234.60x = 14,307,656.76
  5. Step 5: Solve for x
    x = 14,307,656.76/3,234.60
  6. Step 6: Final answer
    x = 4,423.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.