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Finding the Fourth Proportional to 4,612.32, 6,914.70 and 3,154.32

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Solution

The fourth proportional to 4,612.32, 6,914.70 and 3,154.32 is: 4,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.32 : 6,914.70 = 3,154.32 : x
  2. Step 2: Convert to fraction form
    4,612.32/6,914.70 = 3,154.32/x
  3. Step 3: Cross multiply
    4,612.32x = 6,914.70 × 3,154.32
  4. Step 4: Simplify right side
    4,612.32x = 21,811,176.50
  5. Step 5: Solve for x
    x = 21,811,176.50/4,612.32
  6. Step 6: Final answer
    x = 4,728.89

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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.